101363712 has 104 divisors (see below), whose sum is σ = 276397104. Its totient is φ = 33030144.

The previous prime is 101363681. The next prime is 101363813. The reversal of 101363712 is 217363101.

It is a super-2 number, since 2×101363712² = 20549204220837888, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 896968 + ... + 897080.

Almost surely, 2^101363712 is an apocalyptic number.

101363712 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 101363712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138198552).

101363712 is an abundant number, since it is smaller than the sum of its proper divisors (175033392).

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

101363712 is an equidigital number, since it uses as much as digits as its factorization.

101363712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 101363712 is about 10067.9547078838. The cubic root of 101363712 is about 466.2592943783.

The spelling of 101363712 in words is "one hundred one million, three hundred sixty-three thousand, seven hundred twelve".