100112040 has 96 divisors (see below), whose sum is σ = 371854080. Its totient is φ = 22882176.

The previous prime is 100112029. The next prime is 100112063. The reversal of 100112040 is 40211001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 17344 + ... + 22383.

It is an arithmetic number, because the mean of its divisors is an integer number (3873480).

Almost surely, 2^100112040 is an apocalyptic number.

100112040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112040 is an abundant number, since it is smaller than the sum of its proper divisors (271742040).

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

100112040 is a wasteful number, since it uses less digits than its factorization.

100112040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39751 (or 39744 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100112040 is about 10005.6004317582. The cubic root of 100112040 is about 464.3321665329.

Adding to 100112040 its reverse (40211001), we get a palindrome (140323041).

It can be divided in two parts, 1001 and 12040, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 100112040 in words is "one hundred million, one hundred twelve thousand, forty".