101888640 has 432 divisors, whose sum is σ = 431951130. Its totient is φ = 22063104.

The previous prime is 101888627. The next prime is 101888651. The reversal of 101888640 is 46888101.

101888640 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 8 + 8 + 640 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91699776 + 10188864 = 9576^2 + 3192^2 .

It is a super-2 number, since 2×101888640² = 20762589922099200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 101888595 and 101888604.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5362551 + ... + 5362569.

Almost surely, 2^101888640 is an apocalyptic number.

101888640 is a gapful number since it is divisible by the number (10) 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 101888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215975565).

101888640 is an abundant number, since it is smaller than the sum of its proper divisors (330062490).

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

101888640 is a wasteful number, since it uses less digits than its factorization.

101888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 101888640 is about 10093.9902912575. The cubic root of 101888640 is about 467.0627747982.

The spelling of 101888640 in words is "one hundred one million, eight hundred eighty-eight thousand, six hundred forty".