101585834 has 16 divisors (see below), whose sum is σ = 174322368. Its totient is φ = 43492992.

The previous prime is 101585821. The next prime is 101585839. The reversal of 101585834 is 438585101.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101585794 and 101585803.

It is not an unprimeable number, because it can be changed into a prime (101585839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13562 + ... + 19674.

It is an arithmetic number, because the mean of its divisors is an integer number (10895148).

Almost surely, 2^101585834 is an apocalyptic number.

101585834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101585834 is a deficient number, since it is larger than the sum of its proper divisors (72736534).

101585834 is a wasteful number, since it uses less digits than its factorization.

101585834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7309.

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 101585834 is about 10078.9798094847. The cubic root of 101585834 is about 466.5996229083.

The spelling of 101585834 in words is "one hundred one million, five hundred eighty-five thousand, eight hundred thirty-four".