101907 has 18 divisors (see below), whose sum is σ = 161772. Its totient is φ = 61776.

The previous prime is 101891. The next prime is 101917. The reversal of 101907 is 709101.

It is not a de Polignac number, because 101907 - 2⁴ = 101891 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101907.

It is not an unprimeable number, because it can be changed into a prime (101917) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1488 + ... + 1554.

2¹⁰¹⁹⁰⁷ is an apocalyptic number.

101907 is a deficient number, since it is larger than the sum of its proper divisors (59865).

101907 is a wasteful number, since it uses less digits than its factorization.

101907 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 101907 is about 319.2287581030. The cubic root of 101907 is about 46.7090827509.

The spelling of 101907 in words is "one hundred one thousand, nine hundred seven".