100112292 has 216 divisors, whose sum is σ = 323668800. Its totient is φ = 25909632.

The previous prime is 100112281. The next prime is 100112297. The reversal of 100112292 is 292211001.

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

It is not an unprimeable number, because it can be changed into a prime (100112297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 971913 + ... + 972015.

Almost surely, 2^100112292 is an apocalyptic number.

100112292 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 100112292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161834400).

100112292 is an abundant number, since it is smaller than the sum of its proper divisors (223556508).

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

100112292 is a wasteful number, since it uses less digits than its factorization.

100112292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 100112292 is about 10005.6130246977. The cubic root of 100112292 is about 464.3325561350.

Adding to 100112292 its reverse (292211001), we get a palindrome (392323293).

The spelling of 100112292 in words is "one hundred million, one hundred twelve thousand, two hundred ninety-two".