101395896 has 96 divisors (see below), whose sum is σ = 297348480. Its totient is φ = 28728000.

The previous prime is 101395859. The next prime is 101395901. The reversal of 101395896 is 698593101.

It is a super-2 number, since 2×101395896² = 20562255451285632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177291 + ... + 177861.

It is an arithmetic number, because the mean of its divisors is an integer number (3097380).

Almost surely, 2^101395896 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 101395896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148674240).

101395896 is an abundant number, since it is smaller than the sum of its proper divisors (195952584).

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

101395896 is a wasteful number, since it uses less digits than its factorization.

101395896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 101395896 is about 10069.5529195690. The cubic root of 101395896 is about 466.3086364979.

The spelling of 101395896 in words is "one hundred one million, three hundred ninety-five thousand, eight hundred ninety-six".