100468368 has 480 divisors, whose sum is σ = 409473792. Its totient is φ = 22118400.

The previous prime is 100468349. The next prime is 100468391. The reversal of 100468368 is 863864001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2450428 + ... + 2450468.

Almost surely, 2^100468368 is an apocalyptic number.

100468368 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 100468368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

100468368 is an abundant number, since it is smaller than the sum of its proper divisors (309005424).

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

100468368 is a wasteful number, since it uses less digits than its factorization.

100468368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 100468368 is about 10023.3910429555. The cubic root of 100468368 is about 464.8824121680.

The spelling of 100468368 in words is "one hundred million, four hundred sixty-eight thousand, three hundred sixty-eight".