105632165700681 has 16 divisors (see below), whose sum is σ = 145386523860480. Its totient is φ = 68149635586560.

The previous prime is 105632165700641. The next prime is 105632165700727. The reversal of 105632165700681 is 186007561236501.

It is not a de Polignac number, because 105632165700681 - 2⁷ = 105632165700553 is a prime.

It is a super-2 number, since 2×105632165700681² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105632165700641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55482585 + ... + 57354873.

It is an arithmetic number, because the mean of its divisors is an integer number (9086657741280).

Almost surely, 2^{105632165700681} is an apocalyptic number.

It is an amenable number.

105632165700681 is a deficient number, since it is larger than the sum of its proper divisors (39754358159799).

105632165700681 is a wasteful number, since it uses less digits than its factorization.

105632165700681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478976.

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 105632165700681 in words is "one hundred five trillion, six hundred thirty-two billion, one hundred sixty-five million, seven hundred thousand, six hundred eighty-one".