100032520 has 128 divisors (see below), whose sum is σ = 274752000. Its totient is φ = 32702208.

The previous prime is 100032469. The next prime is 100032551. The reversal of 100032520 is 25230001.

100032520 is a modest number, since divided by 32520 gives 1000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 100032520.

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 31 ways as a sum of consecutive naturals, for example, 315402 + ... + 315718.

It is an arithmetic number, because the mean of its divisors is an integer number (2146500).

Almost surely, 2^100032520 is an apocalyptic number.

100032520 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 100032520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137376000).

100032520 is an abundant number, since it is smaller than the sum of its proper divisors (174719480).

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

100032520 is a wasteful number, since it uses less digits than its factorization.

100032520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 100032520 is about 10001.6258678277. The cubic root of 100032520 is about 464.2091927311.

Adding to 100032520 its reverse (25230001), we get a palindrome (125262521).

The spelling of 100032520 in words is "one hundred million, thirty-two thousand, five hundred twenty".