101357765768 has 24 divisors (see below), whose sum is σ = 221073699150. Its totient is φ = 43439042304.

The previous prime is 101357765753. The next prime is 101357765777. The reversal of 101357765768 is 867567753101.

It can be written as a sum of positive squares in only one way, i.e., 96657566404 + 4700199364 = 310898^2 + 68558^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 129282473 + ... + 129283256.

Almost surely, 2^101357765768 is an apocalyptic number.

It is an amenable number.

101357765768 is an abundant number, since it is smaller than the sum of its proper divisors (119715933382).

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

101357765768 is a wasteful number, since it uses less digits than its factorization.

101357765768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258565749 (or 258565738 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 56.

The spelling of 101357765768 in words is "one hundred one billion, three hundred fifty-seven million, seven hundred sixty-five thousand, seven hundred sixty-eight".