107732820 has 96 divisors (see below), whose sum is σ = 330503040. Its totient is φ = 26058240.

The previous prime is 107732819. The next prime is 107732839. The reversal of 107732820 is 28237701.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44850 + ... + 47190.

It is an arithmetic number, because the mean of its divisors is an integer number (3442740).

Almost surely, 2^107732820 is an apocalyptic number.

107732820 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 107732820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165251520).

107732820 is an abundant number, since it is smaller than the sum of its proper divisors (222770220).

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

107732820 is a wasteful number, since it uses less digits than its factorization.

107732820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 107732820 is about 10379.4421815433. The cubic root of 107732820 is about 475.8272859257.

The spelling of 107732820 in words is "one hundred seven million, seven hundred thirty-two thousand, eight hundred twenty".