100034112 has 56 divisors (see below), whose sum is σ = 266675616. Its totient is φ = 33092608.

The previous prime is 100034111. The next prime is 100034113. The reversal of 100034112 is 211430001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100034111) and next prime (100034113).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100034111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24403 + ... + 28205.

Almost surely, 2^100034112 is an apocalyptic number.

100034112 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 100034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133337808).

100034112 is an abundant number, since it is smaller than the sum of its proper divisors (166641504).

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

100034112 is a wasteful number, since it uses less digits than its factorization.

100034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3945 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100034112 is about 10001.7054545712. The cubic root of 100034112 is about 464.2116553206.

Adding to 100034112 its reverse (211430001), we get a palindrome (311464113).

The spelling of 100034112 in words is "one hundred million, thirty-four thousand, one hundred twelve".