100830912 has 224 divisors, whose sum is σ = 341376000. Its totient is φ = 25546752.

The previous prime is 100830907. The next prime is 100830943. The reversal of 100830912 is 219038001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×100830912³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506589 + ... + 506787.

It is an arithmetic number, because the mean of its divisors is an integer number (1524000).

Almost surely, 2^100830912 is an apocalyptic number.

100830912 is a gapful number since it is divisible by the number (12) 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 100830912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170688000).

100830912 is an abundant number, since it is smaller than the sum of its proper divisors (240545088).

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

100830912 is a wasteful number, since it uses less digits than its factorization.

100830912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 100830912 is about 10041.4596548510. The cubic root of 100830912 is about 465.4409229708.

Adding to 100830912 its reverse (219038001), we get a palindrome (319868913).

The spelling of 100830912 in words is "one hundred million, eight hundred thirty thousand, nine hundred twelve".