101260224 has 84 divisors (see below), whose sum is σ = 312593736. Its totient is φ = 31154688.

The previous prime is 101260217. The next prime is 101260267. The reversal of 101260224 is 422062101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101260197 and 101260206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 727 + ... + 14249.

It is an arithmetic number, because the mean of its divisors is an integer number (3721354).

Almost surely, 2^101260224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101260224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156296868).

101260224 is an abundant number, since it is smaller than the sum of its proper divisors (211333512).

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

101260224 is a wasteful number, since it uses less digits than its factorization.

101260224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13554 (or 13541 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101260224 is about 10062.8139205691. The cubic root of 101260224 is about 466.1005634367.

The spelling of 101260224 in words is "one hundred one million, two hundred sixty thousand, two hundred twenty-four".