101057627 has 12 divisors (see below), whose sum is σ = 111336960. Its totient is φ = 91658160.

The previous prime is 101057617. The next prime is 101057629. The reversal of 101057627 is 726750101.

It is not a de Polignac number, because 101057627 - 2¹⁰ = 101056603 is a prime.

It is a super-2 number, since 2×101057627² = 20425287949742258, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101057627.

It is not an unprimeable number, because it can be changed into a prime (101057629) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78374 + ... + 79652.

It is an arithmetic number, because the mean of its divisors is an integer number (9278080).

Almost surely, 2^101057627 is an apocalyptic number.

101057627 is a deficient number, since it is larger than the sum of its proper divisors (10279333).

101057627 is a wasteful number, since it uses less digits than its factorization.

101057627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 29.

The square root of 101057627 is about 10052.7422626863. The cubic root of 101057627 is about 465.7895047284.

The spelling of 101057627 in words is "one hundred one million, fifty-seven thousand, six hundred twenty-seven".