109972487641 has 9 divisors (see below), whose sum is σ = 112104506941. Its totient is φ = 107880290752.

The previous prime is 109972487623. The next prime is 109972487701. The reversal of 109972487641 is 146784279901.

The square root of 109972487641 is 331621.

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

It can be written as a sum of positive squares in 4 ways, for example, as 68868980041 + 41103507600 = 262429^2 + 202740^2 .

It is not a de Polignac number, because 109972487641 - 2²¹ = 109970390489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109972487621) 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, 17572785 + ... + 17579041.

Almost surely, 2^109972487641 is an apocalyptic number.

109972487641 is the 331621-st square number.

109972487641 is the 165811-st centered octagonal number.

It is an amenable number.

109972487641 is a deficient number, since it is larger than the sum of its proper divisors (2132019300).

109972487641 is an frugal number, since it uses more digits than its factorization.

109972487641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12620 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 58.

The spelling of 109972487641 in words is "one hundred nine billion, nine hundred seventy-two million, four hundred eighty-seven thousand, six hundred forty-one".