100097088 has 224 divisors, whose sum is σ = 346155264. Its totient is φ = 24772608.

The previous prime is 100097069. The next prime is 100097117. The reversal of 100097088 is 880790001.

It is a tau number, because it is divible by the number of its divisors (224).

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, 296856 + ... + 297192.

It is an arithmetic number, because the mean of its divisors is an integer number (1545336).

Almost surely, 2^100097088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100097088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173077632).

100097088 is an abundant number, since it is smaller than the sum of its proper divisors (246058176).

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

100097088 is a wasteful number, since it uses less digits than its factorization.

100097088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 100097088 is about 10004.8532223117. The cubic root of 100097088 is about 464.3090489664.

The spelling of 100097088 in words is "one hundred million, ninety-seven thousand, eighty-eight".