106685769600 has 192 divisors, whose sum is σ = 390440598000. Its totient is φ = 28449515520.

The previous prime is 106685769563. The next prime is 106685769607. The reversal of 106685769600 is 6967586601.

106685769600 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 8 + 576 + 9 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106685769600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106685769607) 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, 530995 + ... + 703794.

Almost surely, 2^106685769600 is an apocalyptic number.

106685769600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106685769600 is an abundant number, since it is smaller than the sum of its proper divisors (283754828400).

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

106685769600 is a wasteful number, since it uses less digits than its factorization.

106685769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234822 (or 1234799 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 106685769600 in words is "one hundred six billion, six hundred eighty-five million, seven hundred sixty-nine thousand, six hundred".