105989964721 has 9 divisors (see below), whose sum is σ = 106394217561. Its totient is φ = 105587245764.

The previous prime is 105989964683. The next prime is 105989964733. The reversal of 105989964721 is 127469989501.

The square root of 105989964721 is 325561.

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

It is not a de Polignac number, because 105989964721 - 2¹³ = 105989956529 is a prime.

It is a super-2 number, since 2×105989964721² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105989964721.

It is not an unprimeable number, because it can be changed into a prime (105989964221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 123387190 + ... + 123388048.

It is an arithmetic number, because the mean of its divisors is an integer number (11821579729).

Almost surely, 2^105989964721 is an apocalyptic number.

105989964721 is the 325561-st square number.

105989964721 is the 162781-st centered octagonal number.

It is an amenable number.

105989964721 is a deficient number, since it is larger than the sum of its proper divisors (404252840).

105989964721 is an frugal number, since it uses more digits than its factorization.

105989964721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 61.

The spelling of 105989964721 in words is "one hundred five billion, nine hundred eighty-nine million, nine hundred sixty-four thousand, seven hundred twenty-one".