101640945888 has 108 divisors (see below), whose sum is σ = 294600295080. Its totient is φ = 33240799488.

The previous prime is 101640945883. The next prime is 101640945919. The reversal of 101640945888 is 888549046101.

It is a happy number.

101640945888 is a `hidden beast` number, since 1 + 0 + 16 + 40 + 9 + 4 + 588 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101640945883) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 746173 + ... + 871811.

It is an arithmetic number, because the mean of its divisors is an integer number (2727780510).

Almost surely, 2^101640945888 is an apocalyptic number.

101640945888 is a gapful number since it is divisible by the number (18) 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 101640945888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147300147540).

101640945888 is an abundant number, since it is smaller than the sum of its proper divisors (192959349192).

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

101640945888 is a wasteful number, since it uses less digits than its factorization.

101640945888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125761 (or 125697 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 101640945888 in words is "one hundred one billion, six hundred forty million, nine hundred forty-five thousand, eight hundred eighty-eight".