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106697088 = 273441251
BaseRepresentation
bin1100101110000…
…01000110000000
321102202202220000
412113001012000
5204303301323
614330520000
72433624141
oct627010600
9242682800
10106697088
1155256113
122b896000
1319149b94
1410255ac8
159578e43
hex65c1180

106697088 has 160 divisors (see below), whose sum is σ = 326569320. Its totient is φ = 34560000.

The previous prime is 106697077. The next prime is 106697099. The reversal of 106697088 is 880796601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106697077) and next prime (106697099).

It is a super-2 number, since 2×1066970882 = 22768537175359488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 424963 + ... + 425213.

Almost surely, 2106697088 is an apocalyptic number.

106697088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106697088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163284660).

106697088 is an abundant number, since it is smaller than the sum of its proper divisors (219872232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106697088 is an equidigital number, since it uses as much as digits as its factorization.

106697088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 106697088 is about 10329.4282513603. The cubic root of 106697088 is about 474.2975219119.

The spelling of 106697088 in words is "one hundred six million, six hundred ninety-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 128 144 162 164 192 216 246 251 288 324 328 369 384 432 492 502 576 648 656 738 753 864 984 1004 1107 1152 1296 1312 1476 1506 1728 1968 2008 2214 2259 2592 2624 2952 3012 3321 3456 3936 4016 4428 4518 5184 5248 5904 6024 6642 6777 7872 8032 8856 9036 10291 10368 11808 12048 13284 13554 15744 16064 17712 18072 20331 20582 23616 24096 26568 27108 30873 32128 35424 36144 40662 41164 47232 48192 53136 54216 61746 70848 72288 81324 82328 92619 96384 106272 108432 123492 141696 144576 162648 164656 185238 212544 216864 246984 277857 289152 325296 329312 370476 425088 433728 493968 555714 650592 658624 740952 833571 867456 987936 1111428 1301184 1317248 1481904 1667142 1975872 2222856 2602368 2963808 3334284 3951744 4445712 5927616 6668568 8891424 11855232 13337136 17782848 26674272 35565696 53348544 106697088