101795852928 has 256 divisors, whose sum is σ = 340110627840. Its totient is φ = 26205634560.

The previous prime is 101795852903. The next prime is 101795852957. The reversal of 101795852928 is 829258597101.

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, 3325951 + ... + 3356417.

It is an arithmetic number, because the mean of its divisors is an integer number (1328557140).

Almost surely, 2^101795852928 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 101795852928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170055313920).

101795852928 is an abundant number, since it is smaller than the sum of its proper divisors (238314774912).

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

101795852928 is a wasteful number, since it uses less digits than its factorization.

101795852928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30615 (or 30603 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 57.

The spelling of 101795852928 in words is "one hundred one billion, seven hundred ninety-five million, eight hundred fifty-two thousand, nine hundred twenty-eight".