100093296 has 80 divisors (see below), whose sum is σ = 269411328. Its totient is φ = 31987200.

The previous prime is 100093291. The next prime is 100093303. The reversal of 100093296 is 692390001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100093291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203611 + ... + 204101.

Almost surely, 2^100093296 is an apocalyptic number.

100093296 is a gapful number since it is divisible by the number (16) 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 100093296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134705664).

100093296 is an abundant number, since it is smaller than the sum of its proper divisors (169318032).

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

100093296 is a wasteful number, since it uses less digits than its factorization.

100093296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 100093296 is about 10004.6637124893. The cubic root of 100093296 is about 464.3031857184.

The spelling of 100093296 in words is "one hundred million, ninety-three thousand, two hundred ninety-six".