100934816 has 48 divisors (see below), whose sum is σ = 205730784. Its totient is φ = 48708864.

The previous prime is 100934789. The next prime is 100934839. The reversal of 100934816 is 618439001.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192731 + ... + 193253.

It is an arithmetic number, because the mean of its divisors is an integer number (4286058).

Almost surely, 2^100934816 is an apocalyptic number.

100934816 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 100934816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102865392).

100934816 is an abundant number, since it is smaller than the sum of its proper divisors (104795968).

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

100934816 is a wasteful number, since it uses less digits than its factorization.

100934816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 100934816 is about 10046.6320724908. The cubic root of 100934816 is about 465.6007435737.

The spelling of 100934816 in words is "one hundred million, nine hundred thirty-four thousand, eight hundred sixteen".