101408112 has 150 divisors (see below), whose sum is σ = 318504912. Its totient is φ = 31135104.

The previous prime is 101408107. The next prime is 101408119. The reversal of 101408112 is 211804101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101408119) 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 29 ways as a sum of consecutive naturals, for example, 218793 + ... + 219255.

Almost surely, 2^101408112 is an apocalyptic number.

101408112 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 101408112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159252456).

101408112 is an abundant number, since it is smaller than the sum of its proper divisors (217096800).

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

101408112 is a wasteful number, since it uses less digits than its factorization.

101408112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 101408112 is about 10070.1594823518. The cubic root of 101408112 is about 466.3273624286.

The spelling of 101408112 in words is "one hundred one million, four hundred eight thousand, one hundred twelve".