100112310 has 24 divisors (see below), whose sum is σ = 260292240. Its totient is φ = 26696592.

The previous prime is 100112297. The next prime is 100112329. The reversal of 100112310 is 13211001.

It is a super-2 number, since 2×100112310² = 20044949227072200, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100112292 and 100112301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556090 + ... + 556269.

It is an arithmetic number, because the mean of its divisors is an integer number (10845510).

Almost surely, 2^100112310 is an apocalyptic number.

100112310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100112310 is an abundant number, since it is smaller than the sum of its proper divisors (160179930).

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

100112310 is a wasteful number, since it uses less digits than its factorization.

100112310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112372 (or 1112369 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100112310 is about 10005.6139241928. The cubic root of 100112310 is about 464.3325839638.

Adding to 100112310 its reverse (13211001), we get a palindrome (113323311).

It can be divided in two parts, 10011 and 2310, that added together give a palindrome (12321).

The spelling of 100112310 in words is "one hundred million, one hundred twelve thousand, three hundred ten".