100256940 has 216 divisors, whose sum is σ = 367737552. Its totient is φ = 22861440.

The previous prime is 100256929. The next prime is 100256941. The reversal of 100256940 is 49652001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100256941) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 237930 + ... + 238350.

Almost surely, 2^100256940 is an apocalyptic number.

100256940 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 100256940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183868776).

100256940 is an abundant number, since it is smaller than the sum of its proper divisors (267480612).

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

100256940 is a wasteful number, since it uses less digits than its factorization.

100256940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 100256940 is about 10012.8387583142. The cubic root of 100256940 is about 464.5560799812.

The spelling of 100256940 in words is "one hundred million, two hundred fifty-six thousand, nine hundred forty".