100310924961 has 45 divisors (see below), whose sum is σ = 162320523651. Its totient is φ = 61706996208.

The previous prime is 100310924939. The next prime is 100310924993. The reversal of 100310924961 is 169429013001.

It is a happy number.

The square root of 100310924961 is 316719.

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

It can be written as a sum of positive squares in only one way, i.e., 14838894225 + 85472030736 = 121815^2 + 292356^2 .

It is not a de Polignac number, because 100310924961 - 2⁹ = 100310924449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100310924921) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 37054770 + ... + 37057476.

Almost surely, 2^100310924961 is an apocalyptic number.

100310924961 is the 316719-th square number.

100310924961 is the 158360-th centered octagonal number.

It is an amenable number.

100310924961 is a deficient number, since it is larger than the sum of its proper divisors (62009598690).

100310924961 is an frugal number, since it uses more digits than its factorization.

100310924961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5452 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Multiplying 100310924961 by its sum of digits (36), we get a square (3611193298596 = 1900314²).

Adding to 100310924961 its reverse (169429013001), we get a palindrome (269739937962).

The spelling of 100310924961 in words is "one hundred billion, three hundred ten million, nine hundred twenty-four thousand, nine hundred sixty-one".