101151873 has 12 divisors (see below), whose sum is σ = 146210688. Its totient is φ = 67387320.

The previous prime is 101151857. The next prime is 101151917. The reversal of 101151873 is 378151101.

It is not a de Polignac number, because 101151873 - 2⁴ = 101151857 is a prime.

It is a super-2 number, since 2×101151873² = 20463402822816258, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101151833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13836 + ... + 19842.

It is an arithmetic number, because the mean of its divisors is an integer number (12184224).

Almost surely, 2^101151873 is an apocalyptic number.

It is an amenable number.

101151873 is a deficient number, since it is larger than the sum of its proper divisors (45058815).

101151873 is a wasteful number, since it uses less digits than its factorization.

101151873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7884 (or 7881 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The square root of 101151873 is about 10057.4287469512. The cubic root of 101151873 is about 465.9342576428.

The spelling of 101151873 in words is "one hundred one million, one hundred fifty-one thousand, eight hundred seventy-three".