100973124 has 54 divisors (see below), whose sum is σ = 296914254. Its totient is φ = 28848960.

The previous prime is 100973123. The next prime is 100973129. The reversal of 100973124 is 421379001.

It can be written as a sum of positive squares in only one way, i.e., 73410624 + 27562500 = 8568^2 + 5250^2 .

It is not an unprimeable number, because it can be changed into a prime (100973123) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26857 + ... + 30384.

Almost surely, 2^100973124 is an apocalyptic number.

100973124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100973124 is an abundant number, since it is smaller than the sum of its proper divisors (195941130).

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

100973124 is a wasteful number, since it uses less digits than its factorization.

100973124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57265 (or 57253 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 100973124 is about 10048.5384011805. The cubic root of 100973124 is about 465.6596395952.

The spelling of 100973124 in words is "one hundred million, nine hundred seventy-three thousand, one hundred twenty-four".