107646366900 has 72 divisors (see below), whose sum is σ = 311519373984. Its totient is φ = 28699932800.

The previous prime is 107646366847. The next prime is 107646366901. The reversal of 107646366900 is 9663646701.

It is a super-2 number, since 2×107646366900² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107646366900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107646366901) 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, 1580959 + ... + 1647641.

It is an arithmetic number, because the mean of its divisors is an integer number (4326657972).

Almost surely, 2^107646366900 is an apocalyptic number.

107646366900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107646366900 is an abundant number, since it is smaller than the sum of its proper divisors (203873007084).

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

107646366900 is a wasteful number, since it uses less digits than its factorization.

107646366900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72081 (or 72074 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 107646366900 in words is "one hundred seven billion, six hundred forty-six million, three hundred sixty-six thousand, nine hundred".