101644896 has 48 divisors (see below), whose sum is σ = 270817344. Its totient is φ = 33373824.

The previous prime is 101644891. The next prime is 101644903. The reversal of 101644896 is 698446101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101644891) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1470 + ... + 14333.

It is an arithmetic number, because the mean of its divisors is an integer number (5642028).

Almost surely, 2^101644896 is an apocalyptic number.

101644896 is a gapful number since it is divisible by the number (16) 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 101644896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135408672).

101644896 is an abundant number, since it is smaller than the sum of its proper divisors (169172448).

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

101644896 is a wasteful number, since it uses less digits than its factorization.

101644896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15883 (or 15875 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 101644896 is about 10081.9093429767. The cubic root of 101644896 is about 466.6900323902.

The spelling of 101644896 in words is "one hundred one million, six hundred forty-four thousand, eight hundred ninety-six".