101534237620704 has 72 divisors (see below), whose sum is σ = 329986272273840. Its totient is φ = 29009782176768.

The previous prime is 101534237620681. The next prime is 101534237620709. The reversal of 101534237620704 is 407026732435101.

It is a happy number.

101534237620704 is a `hidden beast` number, since 1 + 0 + 1 + 534 + 23 + 7 + 6 + 20 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 101534237620704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101534237620709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25182100569 + ... + 25182104600.

It is an arithmetic number, because the mean of its divisors is an integer number (4583142670470).

Almost surely, 2^{101534237620704} is an apocalyptic number.

101534237620704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101534237620704 is an abundant number, since it is smaller than the sum of its proper divisors (228452034653136).

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

101534237620704 is a wasteful number, since it uses less digits than its factorization.

101534237620704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50364205192 (or 50364205181 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 101534237620704 in words is "one hundred one trillion, five hundred thirty-four billion, two hundred thirty-seven million, six hundred twenty thousand, seven hundred four".