107876772300 has 144 divisors (see below), whose sum is σ = 352239955200. Its totient is φ = 25250131200.

The previous prime is 107876772299. The next prime is 107876772343. The reversal of 107876772300 is 3277678701.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 107876772300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467920 + ... + 659319.

It is an arithmetic number, because the mean of its divisors is an integer number (2446110800).

Almost surely, 2^107876772300 is an apocalyptic number.

107876772300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107876772300 is an abundant number, since it is smaller than the sum of its proper divisors (244363182900).

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

107876772300 is a wasteful number, since it uses less digits than its factorization.

107876772300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127296 (or 1127289 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 48.

The spelling of 107876772300 in words is "one hundred seven billion, eight hundred seventy-six million, seven hundred seventy-two thousand, three hundred".