107435820 has 48 divisors (see below), whose sum is σ = 301351680. Its totient is φ = 28598976.

The previous prime is 107435791. The next prime is 107435833. The reversal of 107435820 is 28534701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43129 + ... + 45551.

It is an arithmetic number, because the mean of its divisors is an integer number (6278160).

Almost surely, 2^107435820 is an apocalyptic number.

107435820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107435820 is an abundant number, since it is smaller than the sum of its proper divisors (193915860).

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

107435820 is a wasteful number, since it uses less digits than its factorization.

107435820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 107435820 is about 10365.1251801413. The cubic root of 107435820 is about 475.3896267598.

The spelling of 107435820 in words is "one hundred seven million, four hundred thirty-five thousand, eight hundred twenty".