101915454564 has 243 divisors, whose sum is σ = 329877685683. Its totient is φ = 26433237600.

The previous prime is 101915454503. The next prime is 101915454617. The reversal of 101915454564 is 465454519101.

The square root of 101915454564 is 319242.

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

101915454564 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 1 + 545 + 45 + 64 = 666.

101915454564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 147489459 + ... + 147490149.

Almost surely, 2^101915454564 is an apocalyptic number.

101915454564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101915454564 is the 319242-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101915454564

101915454564 is an abundant number, since it is smaller than the sum of its proper divisors (227962231119).

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

101915454564 is a wasteful number, since it uses less digits than its factorization.

101915454564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 101915454564 in words is "one hundred one billion, nine hundred fifteen million, four hundred fifty-four thousand, five hundred sixty-four".