105254424 has 128 divisors (see below), whose sum is σ = 329472000. Its totient is φ = 30844800.

The previous prime is 105254419. The next prime is 105254431. The reversal of 105254424 is 424452501.

It is a super-2 number, since 2×105254424² = 22156987543143552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 72942 + ... + 74370.

It is an arithmetic number, because the mean of its divisors is an integer number (2574000).

Almost surely, 2^105254424 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 105254424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164736000).

105254424 is an abundant number, since it is smaller than the sum of its proper divisors (224217576).

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

105254424 is a wasteful number, since it uses less digits than its factorization.

105254424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1476 counting only the distinct ones).

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

The square root of 105254424 is about 10259.3578746430. The cubic root of 105254424 is about 472.1501365726.

The spelling of 105254424 in words is "one hundred five million, two hundred fifty-four thousand, four hundred twenty-four".