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106955376 = 24311202567
BaseRepresentation
bin1100110000000…
…00001001110000
321110020220012020
412120000021300
5204340033001
614340231440
72436051153
oct630001160
9243226166
10106955376
1155412180
122b99b580
131920a608
14102c1c9a
1595ca736
hex6600270

106955376 has 40 divisors (see below), whose sum is σ = 301421184. Its totient is φ = 32410560.

The previous prime is 106955371. The next prime is 106955399. The reversal of 106955376 is 673559601.

It is a happy number.

It is a super-2 number, since 2×1069553762 = 22878904910602752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106955371) 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, 100756 + ... + 101811.

Almost surely, 2106955376 is an apocalyptic number.

106955376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106955376 is an abundant number, since it is smaller than the sum of its proper divisors (194465808).

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

106955376 is a wasteful number, since it uses less digits than its factorization.

106955376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202589 (or 202583 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 106955376 is about 10341.9232253967. The cubic root of 106955376 is about 474.6799335952.

The spelling of 106955376 in words is "one hundred six million, nine hundred fifty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 202567 405134 607701 810268 1215402 1620536 2228237 2430804 3241072 4456474 4861608 6684711 8912948 9723216 13369422 17825896 26738844 35651792 53477688 106955376