101953956 has 48 divisors (see below), whose sum is σ = 257289984. Its totient is φ = 31236096.

The previous prime is 101953939. The next prime is 101953961. The reversal of 101953956 is 659359101.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 38821 + ... + 41363.

It is an arithmetic number, because the mean of its divisors is an integer number (5360208).

Almost surely, 2^101953956 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 101953956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128644992).

101953956 is an abundant number, since it is smaller than the sum of its proper divisors (155336028).

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

101953956 is a wasteful number, since it uses less digits than its factorization.

101953956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 39.

The square root of 101953956 is about 10097.2251633803. The cubic root of 101953956 is about 467.1625574488.

The spelling of 101953956 in words is "one hundred one million, nine hundred fifty-three thousand, nine hundred fifty-six".