101585838 has 32 divisors (see below), whose sum is σ = 205742592. Its totient is φ = 33436800.

The previous prime is 101585821. The next prime is 101585839. The reversal of 101585838 is 838585101.

It is a junction number, because it is equal to n+sod(n) for n = 101585796 and 101585805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101585839) 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, 235483 + ... + 235913.

It is an arithmetic number, because the mean of its divisors is an integer number (6429456).

Almost surely, 2^101585838 is an apocalyptic number.

101585838 is an abundant number, since it is smaller than the sum of its proper divisors (104156754).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101585838 is a wasteful number, since it uses less digits than its factorization.

101585838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840.

The product of its (nonzero) digits is 38400, while the sum is 39.

The square root of 101585838 is about 10078.9800079175. The cubic root of 101585838 is about 466.5996290325.

The spelling of 101585838 in words is "one hundred one million, five hundred eighty-five thousand, eight hundred thirty-eight".