10097872965 has 128 divisors (see below), whose sum is σ = 19543265280. Its totient is φ = 4933184256.

The previous prime is 10097872937. The next prime is 10097872969. The reversal of 10097872965 is 56927879001.

It is not a de Polignac number, because 10097872965 - 2⁶ = 10097872901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10097872969) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7075582 + ... + 7077008.

It is an arithmetic number, because the mean of its divisors is an integer number (152681760).

Almost surely, 2^10097872965 is an apocalyptic number.

10097872965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10097872965 is a deficient number, since it is larger than the sum of its proper divisors (9445392315).

10097872965 is a wasteful number, since it uses less digits than its factorization.

10097872965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 10097872965 in words is "ten billion, ninety-seven million, eight hundred seventy-two thousand, nine hundred sixty-five".