100812096 has 168 divisors, whose sum is σ = 360419904. Its totient is φ = 26173440.

The previous prime is 100812067. The next prime is 100812097. The reversal of 100812096 is 690218001.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100812097) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 43216 + ... + 45488.

Almost surely, 2^100812096 is an apocalyptic number.

100812096 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 100812096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180209952).

100812096 is an abundant number, since it is smaller than the sum of its proper divisors (259607808).

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

100812096 is a wasteful number, since it uses less digits than its factorization.

100812096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 100812096 is about 10040.5226955572. The cubic root of 100812096 is about 465.4119692797.

The spelling of 100812096 in words is "one hundred million, eight hundred twelve thousand, ninety-six".