107422876400 has 180 divisors, whose sum is σ = 316021659480. Its totient is φ = 34892121600.

The previous prime is 107422876391. The next prime is 107422876403. The reversal of 107422876400 is 4678224701.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107422876403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 228170 + ... + 516630.

It is an arithmetic number, because the mean of its divisors is an integer number (1755675886).

Almost surely, 2^107422876400 is an apocalyptic number.

107422876400 is a gapful number since it is divisible by the number (10) 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 107422876400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158010829740).

107422876400 is an abundant number, since it is smaller than the sum of its proper divisors (208598783080).

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

107422876400 is a wasteful number, since it uses less digits than its factorization.

107422876400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288512 (or 288494 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The spelling of 107422876400 in words is "one hundred seven billion, four hundred twenty-two million, eight hundred seventy-six thousand, four hundred".