105427224 has 128 divisors (see below), whose sum is σ = 341760000. Its totient is φ = 30100896.

The previous prime is 105427213. The next prime is 105427237. The reversal of 105427224 is 422724501.

105427224 is a `hidden beast` number, since 10 + 5 + 427 + 224 = 666.

It is a super-2 number, since 2×105427224² = 22229799120692352, which contains 22 as substring.

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

It is a congruent number.

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, 73377 + ... + 74799.

It is an arithmetic number, because the mean of its divisors is an integer number (2670000).

Almost surely, 2^105427224 is an apocalyptic number.

105427224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105427224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170880000).

105427224 is an abundant number, since it is smaller than the sum of its proper divisors (236332776).

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

105427224 is a wasteful number, since it uses less digits than its factorization.

105427224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 105427224 is about 10267.7760006732. The cubic root of 105427224 is about 472.4083772963.

It can be divided in two parts, 10542 and 7224, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 105427224 in words is "one hundred five million, four hundred twenty-seven thousand, two hundred twenty-four".