100225388718 has 320 divisors, whose sum is σ = 283453632000. Its totient is φ = 25766989056.

The previous prime is 100225388687. The next prime is 100225388729. The reversal of 100225388718 is 817883522001.

100225388718 is a `hidden beast` number, since 1 + 0 + 0 + 22 + 538 + 87 + 18 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 120898728 + ... + 120899556.

It is an arithmetic number, because the mean of its divisors is an integer number (885792600).

Almost surely, 2^100225388718 is an apocalyptic number.

100225388718 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100225388718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141726816000).

100225388718 is an abundant number, since it is smaller than the sum of its proper divisors (183228243282).

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

100225388718 is a wasteful number, since it uses less digits than its factorization.

100225388718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 100225388718 in words is "one hundred billion, two hundred twenty-five million, three hundred eighty-eight thousand, seven hundred eighteen".