107906971392 has 540 divisors, whose sum is σ = 366111243960. Its totient is φ = 31550238720.

The previous prime is 107906971321. The next prime is 107906971441. The reversal of 107906971392 is 293179609701.

It is a happy number.

107906971392 is a `hidden beast` number, since 107 + 90 + 69 + 7 + 1 + 392 = 666.

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

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 72761883 + ... + 72763365.

Almost surely, 2^107906971392 is an apocalyptic number.

107906971392 is a gapful number since it is divisible by the number (12) 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 107906971392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183055621980).

107906971392 is an abundant number, since it is smaller than the sum of its proper divisors (258204272568).

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

107906971392 is a wasteful number, since it uses less digits than its factorization.

107906971392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 107906971392 in words is "one hundred seven billion, nine hundred six million, nine hundred seventy-one thousand, three hundred ninety-two".