100856640 has 112 divisors (see below), whose sum is σ = 330647040. Its totient is φ = 26019840.

The previous prime is 100856621. The next prime is 100856647. The reversal of 100856640 is 46658001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100856598 and 100856607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100856647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28066 + ... + 31454.

Almost surely, 2^100856640 is an apocalyptic number.

100856640 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 100856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165323520).

100856640 is an abundant number, since it is smaller than the sum of its proper divisors (229790400).

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

100856640 is a wasteful number, since it uses less digits than its factorization.

100856640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 100856640 is about 10042.7406617915. The cubic root of 100856640 is about 465.4805068823.

The spelling of 100856640 in words is "one hundred million, eight hundred fifty-six thousand, six hundred forty".