101257715664 has 240 divisors, whose sum is σ = 342425940480. Its totient is φ = 27286191360.

The previous prime is 101257715623. The next prime is 101257715681. The reversal of 101257715664 is 466517752101.

101257715664 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 577 + 15 + 6 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4335859 + ... + 4359149.

It is an arithmetic number, because the mean of its divisors is an integer number (1426774752).

Almost surely, 2^101257715664 is an apocalyptic number.

101257715664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101257715664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171212970240).

101257715664 is an abundant number, since it is smaller than the sum of its proper divisors (241168224816).

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

101257715664 is a wasteful number, since it uses less digits than its factorization.

101257715664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23558 (or 23549 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 101257715664 in words is "one hundred one billion, two hundred fifty-seven million, seven hundred fifteen thousand, six hundred sixty-four".