100972345 has 8 divisors (see below), whose sum is σ = 125345160. Its totient is φ = 77992320.

The previous prime is 100972337. The next prime is 100972351. The reversal of 100972345 is 543279001.

It can be written as a sum of positive squares in 4 ways, for example, as 26132544 + 74839801 = 5112^2 + 8651^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100972345 - 2³ = 100972337 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348036 + ... + 348325.

It is an arithmetic number, because the mean of its divisors is an integer number (15668145).

Almost surely, 2^100972345 is an apocalyptic number.

It is an amenable number.

100972345 is a deficient number, since it is larger than the sum of its proper divisors (24372815).

100972345 is an equidigital number, since it uses as much as digits as its factorization.

100972345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696395.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 100972345 is about 10048.4996392496. The cubic root of 100972345 is about 465.6584420826.

The spelling of 100972345 in words is "one hundred million, nine hundred seventy-two thousand, three hundred forty-five".