107192013768 has 256 divisors, whose sum is σ = 349581312000. Its totient is φ = 29797984512.

The previous prime is 107192013737. The next prime is 107192013781. The reversal of 107192013768 is 867310291701.

107192013768 is a `hidden beast` number, since 1 + 0 + 71 + 9 + 201 + 376 + 8 = 666.

It is a super-2 number, since 2×107192013768² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12289713 + ... + 12298431.

It is an arithmetic number, because the mean of its divisors is an integer number (1365552000).

Almost surely, 2^107192013768 is an apocalyptic number.

107192013768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107192013768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174790656000).

107192013768 is an abundant number, since it is smaller than the sum of its proper divisors (242389298232).

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

107192013768 is a wasteful number, since it uses less digits than its factorization.

107192013768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8961 (or 8951 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 107192013768 in words is "one hundred seven billion, one hundred ninety-two million, thirteen thousand, seven hundred sixty-eight".