100952320 has 144 divisors (see below), whose sum is σ = 291392640. Its totient is φ = 32735232.

The previous prime is 100952311. The next prime is 100952321. The reversal of 100952320 is 23259001.

It is a junction number, because it is equal to n+sod(n) for n = 100952291 and 100952300.

It is not an unprimeable number, because it can be changed into a prime (100952321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169944 + ... + 170536.

It is an arithmetic number, because the mean of its divisors is an integer number (2023560).

Almost surely, 2^100952320 is an apocalyptic number.

100952320 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 100952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145696320).

100952320 is an abundant number, since it is smaller than the sum of its proper divisors (190440320).

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

100952320 is an equidigital number, since it uses as much as digits as its factorization.

100952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 100952320 is about 10047.5031724305. The cubic root of 100952320 is about 465.6276566670.

The spelling of 100952320 in words is "one hundred million, nine hundred fifty-two thousand, three hundred twenty".