101085424 has 40 divisors (see below), whose sum is σ = 214272000. Its totient is φ = 45816000.

The previous prime is 101085421. The next prime is 101085431. The reversal of 101085424 is 424580101.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101085421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87249 + ... + 88399.

It is an arithmetic number, because the mean of its divisors is an integer number (5356800).

Almost surely, 2^101085424 is an apocalyptic number.

It is an amenable number.

101085424 is an abundant number, since it is smaller than the sum of its proper divisors (113186576).

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

101085424 is a wasteful number, since it uses less digits than its factorization.

101085424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 101085424 is about 10054.1247257034. The cubic root of 101085424 is about 465.8322076373.

The spelling of 101085424 in words is "one hundred one million, eighty-five thousand, four hundred twenty-four".