101583085660764 has 48 divisors (see below), whose sum is σ = 242619695442432. Its totient is φ = 33062621622912.

The previous prime is 101583085660723. The next prime is 101583085660799. The reversal of 101583085660764 is 467066580385101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101583085660698 and 101583085660707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31001569 + ... + 34121304.

It is an arithmetic number, because the mean of its divisors is an integer number (5054576988384).

Almost surely, 2^{101583085660764} is an apocalyptic number.

It is an amenable number.

101583085660764 is an abundant number, since it is smaller than the sum of its proper divisors (141036609781668).

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

101583085660764 is a wasteful number, since it uses less digits than its factorization.

101583085660764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65125946 (or 65125944 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 101583085660764 in words is "one hundred one trillion, five hundred eighty-three billion, eighty-five million, six hundred sixty thousand, seven hundred sixty-four".