101248590 has 32 divisors (see below), whose sum is σ = 244861056. Its totient is φ = 26792480.

The previous prime is 101248577. The next prime is 101248633. The reversal of 101248590 is 95842101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 8952 + ... + 16811.

It is an arithmetic number, because the mean of its divisors is an integer number (7651908).

Almost surely, 2^101248590 is an apocalyptic number.

101248590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101248590 is an abundant number, since it is smaller than the sum of its proper divisors (143612466).

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

101248590 is a wasteful number, since it uses less digits than its factorization.

101248590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25904.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 101248590 is about 10062.2358350418. The cubic root of 101248590 is about 466.0827123285.

The spelling of 101248590 in words is "one hundred one million, two hundred forty-eight thousand, five hundred ninety".