100415112 has 96 divisors (see below), whose sum is σ = 295214400. Its totient is φ = 28377216.

The previous prime is 100415101. The next prime is 100415137. The reversal of 100415112 is 211514001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100415091 and 100415100.

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, 120714 + ... + 121542.

It is an arithmetic number, because the mean of its divisors is an integer number (3075150).

Almost surely, 2^100415112 is an apocalyptic number.

100415112 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 100415112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147607200).

100415112 is an abundant number, since it is smaller than the sum of its proper divisors (194799288).

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

100415112 is a wasteful number, since it uses less digits than its factorization.

100415112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 100415112 is about 10020.7341048448. The cubic root of 100415112 is about 464.8002564473.

Adding to 100415112 its reverse (211514001), we get a palindrome (311929113).

The spelling of 100415112 in words is "one hundred million, four hundred fifteen thousand, one hundred twelve".