101248591 has 16 divisors (see below), whose sum is σ = 105631744. Its totient is φ = 96997824.

The previous prime is 101248577. The next prime is 101248633. The reversal of 101248591 is 195842101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101248591 - 2⁵ = 101248559 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101240591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 621076 + ... + 621238.

It is an arithmetic number, because the mean of its divisors is an integer number (6601984).

Almost surely, 2^101248591 is an apocalyptic number.

101248591 is a deficient number, since it is larger than the sum of its proper divisors (4383153).

101248591 is a wasteful number, since it uses less digits than its factorization.

101248591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430.

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 101248591 is about 10062.2358847326. The cubic root of 101248591 is about 466.0827138630.

The spelling of 101248591 in words is "one hundred one million, two hundred forty-eight thousand, five hundred ninety-one".