101161224 has 80 divisors (see below), whose sum is σ = 286189200. Its totient is φ = 33382368.

The previous prime is 101161189. The next prime is 101161243. The reversal of 101161224 is 422161101.

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 = 101161197 and 101161206.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68607 + ... + 70065.

It is an arithmetic number, because the mean of its divisors is an integer number (3577365).

Almost surely, 2^101161224 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 101161224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143094600).

101161224 is an abundant number, since it is smaller than the sum of its proper divisors (185027976).

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

101161224 is a wasteful number, since it uses less digits than its factorization.

101161224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 101161224 is about 10057.8936164587. The cubic root of 101161224 is about 465.9486149877.

The spelling of 101161224 in words is "one hundred one million, one hundred sixty-one thousand, two hundred twenty-four".