101507112 has 48 divisors (see below), whose sum is σ = 314190240. Its totient is φ = 29001888.

The previous prime is 101507089. The next prime is 101507117. The reversal of 101507112 is 211705101.

It is a happy number.

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 (101507117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100198 + ... + 101205.

It is an arithmetic number, because the mean of its divisors is an integer number (6545630).

Almost surely, 2^101507112 is an apocalyptic number.

101507112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101507112 is an abundant number, since it is smaller than the sum of its proper divisors (212683128).

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

101507112 is a wasteful number, since it uses less digits than its factorization.

101507112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201422 (or 201415 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 101507112 is about 10075.0737962558. The cubic root of 101507112 is about 466.4790642755.

The spelling of 101507112 in words is "one hundred one million, five hundred seven thousand, one hundred twelve".