100256640 has 256 divisors, whose sum is σ = 359562240. Its totient is φ = 23552000.

The previous prime is 100256627. The next prime is 100256657. The reversal of 100256640 is 46652001.

It is a super-4 number, since 4×100256640⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100256640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 992590 + ... + 992690.

It is an arithmetic number, because the mean of its divisors is an integer number (1404540).

Almost surely, 2^100256640 is an apocalyptic number.

100256640 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 100256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179781120).

100256640 is an abundant number, since it is smaller than the sum of its proper divisors (259305600).

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

100256640 is a wasteful number, since it uses less digits than its factorization.

100256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 100256640 is about 10012.8237775365. The cubic root of 100256640 is about 464.5556166153. Note that the first 3 decimals are identical.

The spelling of 100256640 in words is "one hundred million, two hundred fifty-six thousand, six hundred forty".