100112320 has 224 divisors, whose sum is σ = 316016640. Its totient is φ = 29245440.

The previous prime is 100112297. The next prime is 100112329. The reversal of 100112320 is 23211001.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100112297 and 100112306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418761 + ... + 418999.

Almost surely, 2^100112320 is an apocalyptic number.

100112320 is a gapful number since it is divisible by the number (10) 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 100112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158008320).

100112320 is an abundant number, since it is smaller than the sum of its proper divisors (215904320).

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

100112320 is a wasteful number, since it uses less digits than its factorization.

100112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 100112320 is about 10005.6144239122. The cubic root of 100112320 is about 464.3325994241.

Adding to 100112320 its reverse (23211001), we get a palindrome (123323321).

It can be divided in two parts, 10011 and 2320, that multiplied together give a triangular number (23225520 = T₆₈₁₅).

The spelling of 100112320 in words is "one hundred million, one hundred twelve thousand, three hundred twenty".