107685351840 has 96 divisors (see below), whose sum is σ = 370046045376. Its totient is φ = 26105538560.

The previous prime is 107685351827. The next prime is 107685351869. The reversal of 107685351840 is 48153586701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×107685351840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 107685351840.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10192197 + ... + 10202756.

It is an arithmetic number, because the mean of its divisors is an integer number (3854646306).

Almost surely, 2^107685351840 is an apocalyptic number.

107685351840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107685351840 is an abundant number, since it is smaller than the sum of its proper divisors (262360693536).

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

107685351840 is a wasteful number, since it uses less digits than its factorization.

107685351840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20394982 (or 20394974 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 107685351840 in words is "one hundred seven billion, six hundred eighty-five million, three hundred fifty-one thousand, eight hundred forty".