101137992484 has 27 divisors (see below), whose sum is σ = 186819432177. Its totient is φ = 47901745728.

The previous prime is 101137992479. The next prime is 101137992493. The reversal of 101137992484 is 484299731101.

The square root of 101137992484 is 318022.

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., 73182152484 + 27955840000 = 270522^2 + 167200^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12080652 + ... + 12089020.

Almost surely, 2^101137992484 is an apocalyptic number.

101137992484 is the 318022-nd square number.

It is an amenable number.

101137992484 is a deficient number, since it is larger than the sum of its proper divisors (85681439693).

101137992484 is an frugal number, since it uses more digits than its factorization.

101137992484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16780 (or 8390 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

Multiplying 101137992484 by its sum of digits (49), we get a square (4955761631716 = 2226154²).

The spelling of 101137992484 in words is "one hundred one billion, one hundred thirty-seven million, nine hundred ninety-two thousand, four hundred eighty-four".