101005839 has 48 divisors (see below), whose sum is σ = 168537600. Its totient is φ = 59708880.

The previous prime is 101005829. The next prime is 101005873. The reversal of 101005839 is 938500101.

It is not a de Polignac number, because 101005839 - 2⁹ = 101005327 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101005829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140122 + ... + 140840.

It is an arithmetic number, because the mean of its divisors is an integer number (3511200).

Almost surely, 2^101005839 is an apocalyptic number.

101005839 is a deficient number, since it is larger than the sum of its proper divisors (67531761).

101005839 is a wasteful number, since it uses less digits than its factorization.

101005839 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 101005839 is about 10050.1661180301. The cubic root of 101005839 is about 465.7099249568.

The spelling of 101005839 in words is "one hundred one million, five thousand, eight hundred thirty-nine".