107346871296 has 308 divisors, whose sum is σ = 367716398592. Its totient is φ = 30669041664.

The previous prime is 107346871283. The next prime is 107346871319. The reversal of 107346871296 is 692178643701.

107346871296 is a `hidden beast` number, since 1 + 0 + 7 + 346 + 8 + 7 + 1 + 296 = 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 27 ways as a sum of consecutive naturals, for example, 5215201 + ... + 5235743.

Almost surely, 2^107346871296 is an apocalyptic number.

107346871296 is a gapful number since it is divisible by the number (16) 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 107346871296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183858199296).

107346871296 is an abundant number, since it is smaller than the sum of its proper divisors (260369527296).

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

107346871296 is an frugal number, since it uses more digits than its factorization.

107346871296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20588 (or 20555 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 107346871296 in words is "one hundred seven billion, three hundred forty-six million, eight hundred seventy-one thousand, two hundred ninety-six".