101540930869504 has 135 divisors (see below), whose sum is σ = 236470415628993. Its totient is φ = 43514156012544.

The previous prime is 101540930869481. The next prime is 101540930869537. The reversal of 101540930869504 is 405968039045101.

The square root of 101540930869504 is 10076752.

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., 24823512582400 + 76717418287104 = 4982320^2 + 8758848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7900167142 + ... + 7900179994.

Almost surely, 2^{101540930869504} is an apocalyptic number.

101540930869504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101540930869504 is the 10076752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101540930869504

101540930869504 is an abundant number, since it is smaller than the sum of its proper divisors (134929484759489).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101540930869504 is an frugal number, since it uses more digits than its factorization.

101540930869504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25750 (or 12862 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 55.

The spelling of 101540930869504 in words is "one hundred one trillion, five hundred forty billion, nine hundred thirty million, eight hundred sixty-nine thousand, five hundred four".