101911896 has 192 divisors, whose sum is σ = 314496000. Its totient is φ = 29652480.

The previous prime is 101911879. The next prime is 101911897. The reversal of 101911896 is 698119101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101911896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101911897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1289985 + ... + 1290063.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 2^101911896 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 101911896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

101911896 is an abundant number, since it is smaller than the sum of its proper divisors (212584104).

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

101911896 is a wasteful number, since it uses less digits than its factorization.

101911896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

The square root of 101911896 is about 10095.1421981070. The cubic root of 101911896 is about 467.0983076622.

The spelling of 101911896 in words is "one hundred one million, nine hundred eleven thousand, eight hundred ninety-six".