101056512 has 72 divisors (see below), whose sum is σ = 270531576. Its totient is φ = 33554432.

The previous prime is 101056507. The next prime is 101056523. The reversal of 101056512 is 215650101.

It is a super-2 number, since 2×101056512² = 20424837235212288, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 101056512 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 393088 + ... + 393344.

It is an arithmetic number, because the mean of its divisors is an integer number (3757383).

Almost surely, 2^101056512 is an apocalyptic number.

101056512 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 101056512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135265788).

101056512 is an abundant number, since it is smaller than the sum of its proper divisors (169475064).

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

101056512 is an frugal number, since it uses more digits than its factorization.

101056512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 101056512 is about 10052.6868050288. The cubic root of 101056512 is about 465.7877916556.

The spelling of 101056512 in words is "one hundred one million, fifty-six thousand, five hundred twelve".