100093488 has 80 divisors (see below), whose sum is σ = 283481856. Its totient is φ = 30181120.

The previous prime is 100093459. The next prime is 100093519. The reversal of 100093488 is 884390001.

It is a super-2 number, since 2×100093488² = 20037412680012288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154381 + ... + 155027.

Almost surely, 2^100093488 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 100093488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141740928).

100093488 is an abundant number, since it is smaller than the sum of its proper divisors (183388368).

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

100093488 is a wasteful number, since it uses less digits than its factorization.

100093488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 100093488 is about 10004.6733080096. The cubic root of 100093488 is about 464.3034825953.

The spelling of 100093488 in words is "one hundred million, ninety-three thousand, four hundred eighty-eight".