100931016952249 has 27 divisors (see below), whose sum is σ = 111217495379277. Its totient is φ = 91527114307200.

The previous prime is 100931016952247. The next prime is 100931016952261. The reversal of 100931016952249 is 942259610139001.

The square root of 100931016952249 is 10046443.

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 55624225167225 + 45306791785024 = 7458165^2 + 6731032^2 .

It is not a de Polignac number, because 100931016952249 - 2¹ = 100931016952247 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100931016952196 and 100931016952205.

It is not an unprimeable number, because it can be changed into a prime (100931016952247) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57576163957 + ... + 57576165709.

Almost surely, 2^{100931016952249} is an apocalyptic number.

100931016952249 is the 10046443-rd square number.

100931016952249 is the 5023222-nd centered octagonal number.

It is an amenable number.

100931016952249 is a deficient number, since it is larger than the sum of its proper divisors (10286478427028).

100931016952249 is an frugal number, since it uses more digits than its factorization.

100931016952249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 52.

The spelling of 100931016952249 in words is "one hundred trillion, nine hundred thirty-one billion, sixteen million, nine hundred fifty-two thousand, two hundred forty-nine".