107621617920 has 288 divisors, whose sum is σ = 362543462400. Its totient is φ = 27133304832.

The previous prime is 107621617903. The next prime is 107621617927. The reversal of 107621617920 is 29716126701.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (107621617927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45161049 + ... + 45163431.

Almost surely, 2^107621617920 is an apocalyptic number.

107621617920 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 107621617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181271731200).

107621617920 is an abundant number, since it is smaller than the sum of its proper divisors (254921844480).

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

107621617920 is a wasteful number, since it uses less digits than its factorization.

107621617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The spelling of 107621617920 in words is "one hundred seven billion, six hundred twenty-one million, six hundred seventeen thousand, nine hundred twenty".