107709451920 has 1200 divisors, whose sum is σ = 454310797248. Its totient is φ = 23566878720.

The previous prime is 107709451903. The next prime is 107709451933. The reversal of 107709451920 is 29154907701.

107709451920 is a `hidden beast` number, since 107 + 7 + 0 + 9 + 4 + 519 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1297704199 + ... + 1297704281.

Almost surely, 2^107709451920 is an apocalyptic number.

107709451920 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 107709451920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227155398624).

107709451920 is an abundant number, since it is smaller than the sum of its proper divisors (346601345328).

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

107709451920 is a wasteful number, since it uses less digits than its factorization.

107709451920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 107709451920 in words is "one hundred seven billion, seven hundred nine million, four hundred fifty-one thousand, nine hundred twenty".