100108023761088 has 896 divisors, whose sum is σ = 360905984409600. Its totient is φ = 26560936820736.

The previous prime is 100108023761041. The next prime is 100108023761117. The reversal of 100108023761088 is 880167320801001.

It is a happy number.

100108023761088 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 8 + 0 + 23 + 7 + 610 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4658993481 + ... + 4659014967.

It is an arithmetic number, because the mean of its divisors is an integer number (402796857600).

Almost surely, 2^{100108023761088} is an apocalyptic number.

100108023761088 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 100108023761088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180452992204800).

100108023761088 is an abundant number, since it is smaller than the sum of its proper divisors (260797960648512).

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

100108023761088 is a wasteful number, since it uses less digits than its factorization.

100108023761088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21834 (or 21818 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 100108023761088 in words is "one hundred trillion, one hundred eight billion, twenty-three million, seven hundred sixty-one thousand, eighty-eight".