100973160 has 96 divisors (see below), whose sum is σ = 336215880. Its totient is φ = 26265600.

The previous prime is 100973153. The next prime is 100973177. The reversal of 100973160 is 61379001.

It can be written as a sum of positive squares in 4 ways, for example, as 67864644 + 33108516 = 8238^2 + 5754^2 .

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 23 ways as a sum of consecutive naturals, for example, 11340 + ... + 18180.

Almost surely, 2^100973160 is an apocalyptic number.

100973160 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 100973160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168107940).

100973160 is an abundant number, since it is smaller than the sum of its proper divisors (235242720).

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

100973160 is a wasteful number, since it uses less digits than its factorization.

100973160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6899 (or 6892 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 100973160 is about 10048.5401924857. The cubic root of 100973160 is about 465.6596949359.

The spelling of 100973160 in words is "one hundred million, nine hundred seventy-three thousand, one hundred sixty".