101050512 has 80 divisors (see below), whose sum is σ = 276768000. Its totient is φ = 31681152.

The previous prime is 101050501. The next prime is 101050513. The reversal of 101050512 is 215050101.

It is a super-2 number, since 2×101050512² = 20422411950924288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101050491 and 101050500.

It is not an unprimeable number, because it can be changed into a prime (101050513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162939 + ... + 163557.

It is an arithmetic number, because the mean of its divisors is an integer number (3459600).

Almost surely, 2^101050512 is an apocalyptic number.

101050512 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 101050512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138384000).

101050512 is an abundant number, since it is smaller than the sum of its proper divisors (175717488).

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

101050512 is a wasteful number, since it uses less digits than its factorization.

101050512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 101050512 is about 10052.3883729191. The cubic root of 101050512 is about 465.7785731104.

The spelling of 101050512 in words is "one hundred one million, fifty thousand, five hundred twelve".