100973056 has 60 divisors (see below), whose sum is σ = 208980486. Its totient is φ = 48721920.

The previous prime is 100973053. The next prime is 100973057. The reversal of 100973056 is 650379001.

It can be written as a sum of positive squares in 3 ways, for example, as 40755456 + 60217600 = 6384^2 + 7760^2 .

It is not an unprimeable number, because it can be changed into a prime (100973053) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1655266 + ... + 1655326.

Almost surely, 2^100973056 is an apocalyptic number.

100973056 is a gapful number since it is divisible by the number (16) 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 100973056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104490243).

100973056 is an abundant number, since it is smaller than the sum of its proper divisors (108007430).

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

100973056 is an frugal number, since it uses more digits than its factorization.

100973056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 100973056 is about 10048.5350176033. The cubic root of 100973056 is about 465.6595350629.

The spelling of 100973056 in words is "one hundred million, nine hundred seventy-three thousand, fifty-six".