107226854687232 has 800 divisors, whose sum is σ = 375415832039424. Its totient is φ = 29832219648000.

The previous prime is 107226854687203. The next prime is 107226854687243. The reversal of 107226854687232 is 232786458622701.

It is a happy number.

107226854687232 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 2 + 6 + 8 + 546 + 87 + 2 + 3 + 2 = 666.

107226854687232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107226854687232² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 107226854687232.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4131883857 + ... + 4131909807.

Almost surely, 2^{107226854687232} is an apocalyptic number.

107226854687232 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 107226854687232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187707916019712).

107226854687232 is an abundant number, since it is smaller than the sum of its proper divisors (268188977352192).

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

107226854687232 is an equidigital number, since it uses as much as digits as its factorization.

107226854687232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26362 (or 26337 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 107226854687232 in words is "one hundred seven trillion, two hundred twenty-six billion, eight hundred fifty-four million, six hundred eighty-seven thousand, two hundred thirty-two".