105901224 has 128 divisors (see below), whose sum is σ = 316915200. Its totient is φ = 29064960.

The previous prime is 105901207. The next prime is 105901241. The reversal of 105901224 is 422109501.

It is an interprime number because it is at equal distance from previous prime (105901207) and next prime (105901241).

It is a super-2 number, since 2×105901224² = 22430138489396352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 105901194 and 105901203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202227 + ... + 202749.

It is an arithmetic number, because the mean of its divisors is an integer number (2475900).

Almost surely, 2^105901224 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 105901224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158457600).

105901224 is an abundant number, since it is smaller than the sum of its proper divisors (211013976).

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

105901224 is a wasteful number, since it uses less digits than its factorization.

105901224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 105901224 is about 10290.8320363321. The cubic root of 105901224 is about 473.1153004066.

The spelling of 105901224 in words is "one hundred five million, nine hundred one thousand, two hundred twenty-four".