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106685969 = 13192127179
BaseRepresentation
bin1100101101111…
…10011000010001
321102202012122012
412112332120101
5204302422334
614330352305
72433546545
oct626763021
9242665565
10106685969
1155248825
122b88b695
1319144ac0
1410251a25
1595759ce
hex65be611

106685969 has 24 divisors (see below), whose sum is σ = 122895360. Its totient is φ = 92044512.

The previous prime is 106685963. The next prime is 106685987. The reversal of 106685969 is 969586601.

It is a de Polignac number, because none of the positive numbers 2k-106685969 is a prime.

It is a super-2 number, since 2×1066859692 = 22763791962937922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106685963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595922 + ... + 596100.

It is an arithmetic number, because the mean of its divisors is an integer number (5120640).

Almost surely, 2106685969 is an apocalyptic number.

106685969 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

106685969 is a deficient number, since it is larger than the sum of its proper divisors (16209391).

106685969 is a wasteful number, since it uses less digits than its factorization.

106685969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 50.

The square root of 106685969 is about 10328.8900178093. The cubic root of 106685969 is about 474.2810456817.

The spelling of 106685969 in words is "one hundred six million, six hundred eighty-five thousand, nine hundred sixty-nine".

Divisors: 1 13 19 127 179 247 361 1651 2327 2413 3401 4693 22733 31369 44213 45847 64619 295529 431927 596011 840047 5615051 8206613 106685969