101881689 has 16 divisors (see below), whose sum is σ = 167190912. Its totient is φ = 53739648.

The previous prime is 101881673. The next prime is 101881693. The reversal of 101881689 is 986188101.

It is not a de Polignac number, because 101881689 - 2⁴ = 101881673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101881689.

It is not an unprimeable number, because it can be changed into a prime (101881649) 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, 186324 + ... + 186869.

It is an arithmetic number, because the mean of its divisors is an integer number (10449432).

Almost surely, 2^101881689 is an apocalyptic number.

It is an amenable number.

101881689 is a deficient number, since it is larger than the sum of its proper divisors (65309223).

101881689 is a wasteful number, since it uses less digits than its factorization.

101881689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373216.

The product of its (nonzero) digits is 27648, while the sum is 42.

The square root of 101881689 is about 10093.6459716002. The cubic root of 101881689 is about 467.0521533093.

The spelling of 101881689 in words is "one hundred one million, eight hundred eighty-one thousand, six hundred eighty-nine".