105424704 has 168 divisors, whose sum is σ = 376903488. Its totient is φ = 27371520.

The previous prime is 105424687. The next prime is 105424733. The reversal of 105424704 is 407424501.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×105424704² = 22228736426975232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43164 + ... + 45540.

Almost surely, 2^105424704 is an apocalyptic number.

105424704 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 105424704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188451744).

105424704 is an abundant number, since it is smaller than the sum of its proper divisors (271478784).

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

105424704 is a wasteful number, since it uses less digits than its factorization.

105424704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2400 counting only the distinct ones).

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

The square root of 105424704 is about 10267.6532859266. The cubic root of 105424704 is about 472.4046133140.

The spelling of 105424704 in words is "one hundred five million, four hundred twenty-four thousand, seven hundred four".