100830870112 has 96 divisors (see below), whose sum is σ = 230645560320. Its totient is φ = 42498293760.

The previous prime is 100830870109. The next prime is 100830870113. The reversal of 100830870112 is 211078038001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100830870113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4536787 + ... + 4558957.

It is an arithmetic number, because the mean of its divisors is an integer number (2402557920).

Almost surely, 2^100830870112 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 100830870112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115322780160).

100830870112 is an abundant number, since it is smaller than the sum of its proper divisors (129814690208).

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

100830870112 is a wasteful number, since it uses less digits than its factorization.

100830870112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22524 (or 22516 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The spelling of 100830870112 in words is "one hundred billion, eight hundred thirty million, eight hundred seventy thousand, one hundred twelve".