101366512 has 80 divisors (see below), whose sum is σ = 226860480. Its totient is φ = 43462656.

The previous prime is 101366509. The next prime is 101366519. The reversal of 101366512 is 215663101.

It is a super-2 number, since 2×101366512² = 20550339510092288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101366519) 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 15 ways as a sum of consecutive naturals, for example, 385293 + ... + 385555.

It is an arithmetic number, because the mean of its divisors is an integer number (2835756).

Almost surely, 2^101366512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101366512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113430240).

101366512 is an abundant number, since it is smaller than the sum of its proper divisors (125493968).

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

101366512 is a wasteful number, since it uses less digits than its factorization.

101366512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 101366512 is about 10068.0937619790. The cubic root of 101366512 is about 466.2635875452.

The spelling of 101366512 in words is "one hundred one million, three hundred sixty-six thousand, five hundred twelve".