105454224 has 70 divisors (see below), whose sum is σ = 306370086. Its totient is φ = 35147520.

The previous prime is 105454207. The next prime is 105454249. The reversal of 105454224 is 422454501.

It can be written as a sum of positive squares in only one way, i.e., 105267600 + 186624 = 10260^2 + 432^2 .

It is a super-2 number, since 2×105454224² = 22241186718884352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7144 + ... + 16184.

Almost surely, 2^105454224 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 105454224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153185043).

105454224 is an abundant number, since it is smaller than the sum of its proper divisors (200915862).

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

105454224 is an frugal number, since it uses more digits than its factorization.

105454224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9067 (or 9046 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 105454224 is about 10269.0907095030. The cubic root of 105454224 is about 472.4487019139.

It can be divided in two parts, 1054 and 54224, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 105454224 in words is "one hundred five million, four hundred fifty-four thousand, two hundred twenty-four".