91560102921 has 63 divisors (see below), whose sum is σ = 159789791703. Its totient is φ = 52287379200.

The previous prime is 91560102911. The next prime is 91560102929. The reversal of 91560102921 is 12920106519.

The square root of 91560102921 is 302589.

It is a perfect power (a square), and thus also a powerful number.

91560102921 is a `hidden beast` number, since 9 + 1 + 5 + 601 + 0 + 29 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91331488521 + 228614400 = 302211^2 + 15120^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 91560102921 - 2¹⁹ = 91559578633 is a prime.

It is a super-2 number, since 2×91560102921² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (91560102929) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 57188521 + ... + 57190121.

Almost surely, 2^91560102921 is an apocalyptic number.

91560102921 is the 302589-th square number.

91560102921 is the 151295-th centered octagonal number.

It is an amenable number.

91560102921 is a deficient number, since it is larger than the sum of its proper divisors (68229688782).

91560102921 is an frugal number, since it uses more digits than its factorization.

91560102921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

Multiplying 91560102921 by its sum of digits (36), we get a square (3296163705156 = 1815534²).

It can be divided in two parts, 91560 and 102921, that added together give a 4-th power (194481 = 21⁴).

The spelling of 91560102921 in words is "ninety-one billion, five hundred sixty million, one hundred two thousand, nine hundred twenty-one".