101742912 has 112 divisors (see below), whose sum is σ = 302686720. Its totient is φ = 33509376.

The previous prime is 101742877. The next prime is 101742941. The reversal of 101742912 is 219247101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167313 + ... + 167919.

It is an arithmetic number, because the mean of its divisors is an integer number (2702560).

Almost surely, 2^101742912 is an apocalyptic number.

101742912 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 101742912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151343360).

101742912 is an abundant number, since it is smaller than the sum of its proper divisors (200943808).

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

101742912 is an equidigital number, since it uses as much as digits as its factorization.

101742912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 101742912 is about 10086.7691556811. The cubic root of 101742912 is about 466.8399936657.

The spelling of 101742912 in words is "one hundred one million, seven hundred forty-two thousand, nine hundred twelve".