101265076704 has 192 divisors, whose sum is σ = 291927041280. Its totient is φ = 30481920000.

The previous prime is 101265076691. The next prime is 101265076721. The reversal of 101265076704 is 407670562101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168494004 + ... + 168494604.

It is an arithmetic number, because the mean of its divisors is an integer number (1520453340).

Almost surely, 2^101265076704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101265076704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145963520640).

101265076704 is an abundant number, since it is smaller than the sum of its proper divisors (190661964576).

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

101265076704 is a wasteful number, since it uses less digits than its factorization.

101265076704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 101265076704 in words is "one hundred one billion, two hundred sixty-five million, seventy-six thousand, seven hundred four".