100112310032 has 80 divisors (see below), whose sum is σ = 226399497600. Its totient is φ = 42867683712.

The previous prime is 100112310007. The next prime is 100112310037. The reversal of 100112310032 is 230013211001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100112309989 and 100112310016.

It is not an unprimeable number, because it can be changed into a prime (100112310037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6781283 + ... + 6796029.

It is an arithmetic number, because the mean of its divisors is an integer number (2829993720).

Almost surely, 2^100112310032 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 100112310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113199748800).

100112310032 is an abundant number, since it is smaller than the sum of its proper divisors (126287187568).

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

100112310032 is a wasteful number, since it uses less digits than its factorization.

100112310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16013 (or 15993 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100112310032 its reverse (230013211001), we get a palindrome (330125521033).

The spelling of 100112310032 in words is "one hundred billion, one hundred twelve million, three hundred ten thousand, thirty-two".