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107606961 = 3971171
BaseRepresentation
bin1100110100111…
…11001110110001
321111111000000000
412122133032301
5210021410321
614402220213
72444433630
oct632371661
9244430000
10107606961
1155817780
1230054669
13193a8077
1410411517
1596a8826
hex669f3b1

107606961 has 80 divisors (see below), whose sum is σ = 204069888. Its totient is φ = 55112400.

The previous prime is 107606909. The next prime is 107606971. The reversal of 107606961 is 169606701.

It is not a de Polignac number, because 107606961 - 26 = 107606897 is a prime.

It is a nialpdrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (107606971) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1515556 + ... + 1515626.

Almost surely, 2107606961 is an apocalyptic number.

107606961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

107606961 is the 6561-st heptagonal number.

It is an amenable number.

107606961 is a deficient number, since it is larger than the sum of its proper divisors (96462927).

107606961 is an frugal number, since it uses more digits than its factorization.

107606961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 107606961 is about 10373.3775116883. The cubic root of 107606961 is about 475.6419184502.

The spelling of 107606961 in words is "one hundred seven million, six hundred six thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 11 21 27 33 63 71 77 81 99 189 213 231 243 297 497 567 639 693 729 781 891 1491 1701 1917 2079 2187 2343 2673 4473 5103 5467 5751 6237 6561 7029 8019 13419 15309 16401 17253 18711 19683 21087 24057 40257 45927 49203 51759 56133 63261 72171 120771 137781 147609 155277 168399 189783 216513 362313 442827 465831 505197 569349 1086939 1328481 1397493 1515591 1708047 3260817 3985443 5124141 9782451 11956329 15372423 35868987 107606961