100607000112 has 120 divisors (see below), whose sum is σ = 285537403008. Its totient is φ = 33064704000.

The previous prime is 100607000057. The next prime is 100607000167. The reversal of 100607000112 is 211000706001.

It is an interprime number because it is at equal distance from previous prime (100607000057) and next prime (100607000167).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3490753 + ... + 3519455.

Almost surely, 2^100607000112 is an apocalyptic number.

100607000112 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 100607000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142768701504).

100607000112 is an abundant number, since it is smaller than the sum of its proper divisors (184930402896).

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

100607000112 is a wasteful number, since it uses less digits than its factorization.

100607000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29059 (or 29050 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 100607000112 its reverse (211000706001), we get a palindrome (311607706113).

The spelling of 100607000112 in words is "one hundred billion, six hundred seven million, one hundred twelve", and thus it is an aban number.