101813712 has 240 divisors, whose sum is σ = 357262848. Its totient is φ = 24261120.

The previous prime is 101813683. The next prime is 101813717. The reversal of 101813712 is 217318101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101813717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624543 + ... + 624705.

Almost surely, 2^101813712 is an apocalyptic number.

101813712 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 101813712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178631424).

101813712 is an abundant number, since it is smaller than the sum of its proper divisors (255449136).

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

101813712 is a wasteful number, since it uses less digits than its factorization.

101813712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 101813712 is about 10090.2780932936. The cubic root of 101813712 is about 466.9482554507.

The spelling of 101813712 in words is "one hundred one million, eight hundred thirteen thousand, seven hundred twelve".