101385837 has 40 divisors (see below), whose sum is σ = 174309696. Its totient is φ = 57526848.

The previous prime is 101385833. The next prime is 101385839. The reversal of 101385837 is 738583101.

It is not a de Polignac number, because 101385837 - 2² = 101385833 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101385833) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91873 + ... + 92969.

Almost surely, 2^101385837 is an apocalyptic number.

It is an amenable number.

101385837 is a deficient number, since it is larger than the sum of its proper divisors (72923859).

101385837 is a wasteful number, since it uses less digits than its factorization.

101385837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 101385837 is about 10069.0534311821. The cubic root of 101385837 is about 466.2932159077.

The spelling of 101385837 in words is "one hundred one million, three hundred eighty-five thousand, eight hundred thirty-seven".