972105644 has 24 divisors (see below), whose sum is σ = 1743802368. Its totient is φ = 473916240.

The previous prime is 972105637. The next prime is 972105661. The reversal of 972105644 is 446501279.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 972105598 and 972105607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99749 + ... + 109059.

It is an arithmetic number, because the mean of its divisors is an integer number (72658432).

Almost surely, 2^972105644 is an apocalyptic number.

It is an amenable number.

972105644 is a deficient number, since it is larger than the sum of its proper divisors (771696724).

972105644 is a wasteful number, since it uses less digits than its factorization.

972105644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9965 (or 9963 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 972105644 is about 31178.6087566460. The cubic root of 972105644 is about 990.6140611051.

The spelling of 972105644 in words is "nine hundred seventy-two million, one hundred five thousand, six hundred forty-four".