112431309900 has 288 divisors, whose sum is σ = 401155991040. Its totient is φ = 23675258880.

The previous prime is 112431309889. The next prime is 112431309917. The reversal of 112431309900 is 9903134211.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14929336 + ... + 14936864.

Almost surely, 2^112431309900 is an apocalyptic number.

112431309900 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 112431309900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200577995520).

112431309900 is an abundant number, since it is smaller than the sum of its proper divisors (288724681140).

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

112431309900 is a wasteful number, since it uses less digits than its factorization.

112431309900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8113 (or 8106 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The spelling of 112431309900 in words is "one hundred twelve billion, four hundred thirty-one million, three hundred nine thousand, nine hundred".