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106487808 = 21337619
BaseRepresentation
bin1100101100011…
…10000000000000
321102101010210220
412112032000000
5204230102213
614322223040
72432063040
oct626160000
9242333726
10106487808
1155122959
122b7b4a80
13190a584b
14101dd720
159536e23
hex658e000

106487808 has 112 divisors (see below), whose sum is σ = 325038720. Its totient is φ = 30375936.

The previous prime is 106487807. The next prime is 106487809. The reversal of 106487808 is 808784601.

It is an interprime number because it is at equal distance from previous prime (106487807) and next prime (106487809).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1064878082 = 22679306505289728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 106487808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106487807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171723 + ... + 172341.

Almost surely, 2106487808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106487808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162519360).

106487808 is an abundant number, since it is smaller than the sum of its proper divisors (218550912).

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

106487808 is an frugal number, since it uses more digits than its factorization.

106487808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 106487808 is about 10319.2929990383. The cubic root of 106487808 is about 473.9872168035.

The spelling of 106487808 in words is "one hundred six million, four hundred eighty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 619 672 768 896 1024 1238 1344 1536 1792 1857 2048 2476 2688 3072 3584 3714 4096 4333 4952 5376 6144 7168 7428 8192 8666 9904 10752 12288 12999 14336 14856 17332 19808 21504 24576 25998 28672 29712 34664 39616 43008 51996 57344 59424 69328 79232 86016 103992 118848 138656 158464 172032 207984 237696 277312 316928 415968 475392 554624 633856 831936 950784 1109248 1267712 1663872 1901568 2218496 2535424 3327744 3803136 4436992 5070848 6655488 7606272 8873984 13310976 15212544 17747968 26621952 35495936 53243904 106487808