100225239408 has 160 divisors (see below), whose sum is σ = 328925376000. Its totient is φ = 28623227904.

The previous prime is 100225239383. The next prime is 100225239449. The reversal of 100225239408 is 804932522001.

It is a happy number.

100225239408 is a `hidden beast` number, since 1 + 0 + 0 + 225 + 23 + 9 + 408 = 666.

It is a super-2 number, since 2×100225239408² (a number of 23 digits) contains 22 as substring.

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

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, 8561143 + ... + 8572841.

It is an arithmetic number, because the mean of its divisors is an integer number (2055783600).

Almost surely, 2^100225239408 is an apocalyptic number.

100225239408 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 100225239408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164462688000).

100225239408 is an abundant number, since it is smaller than the sum of its proper divisors (228700136592).

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

100225239408 is a wasteful number, since it uses less digits than its factorization.

100225239408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14556 (or 14544 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 100225239408 in words is "one hundred billion, two hundred twenty-five million, two hundred thirty-nine thousand, four hundred eight".