107311620 has 144 divisors (see below), whose sum is σ = 343103040. Its totient is φ = 24979968.

The previous prime is 107311597. The next prime is 107311657. The reversal of 107311620 is 26113701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192382 + ... + 192938.

It is an arithmetic number, because the mean of its divisors is an integer number (2382660).

Almost surely, 2^107311620 is an apocalyptic number.

107311620 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 107311620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171551520).

107311620 is an abundant number, since it is smaller than the sum of its proper divisors (235791420).

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

107311620 is a wasteful number, since it uses less digits than its factorization.

107311620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 107311620 is about 10359.1322030371. The cubic root of 107311620 is about 475.2063664703.

The spelling of 107311620 in words is "one hundred seven million, three hundred eleven thousand, six hundred twenty".