101957593920 has 448 divisors, whose sum is σ = 400208739840. Its totient is φ = 21415329792.

The previous prime is 101957593901. The next prime is 101957593931. The reversal of 101957593920 is 29395759101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20352376 + ... + 20357384.

It is an arithmetic number, because the mean of its divisors is an integer number (893323080).

Almost surely, 2^101957593920 is an apocalyptic number.

101957593920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101957593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200104369920).

101957593920 is an abundant number, since it is smaller than the sum of its proper divisors (298251145920).

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

101957593920 is a wasteful number, since it uses less digits than its factorization.

101957593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5282 (or 5272 counting only the distinct ones).

The product of its (nonzero) digits is 765450, while the sum is 51.

The spelling of 101957593920 in words is "one hundred one billion, nine hundred fifty-seven million, five hundred ninety-three thousand, nine hundred twenty".