105413504 has 64 divisors (see below), whose sum is σ = 245004000. Its totient is φ = 45177216.

The previous prime is 105413491. The next prime is 105413513. The reversal of 105413504 is 405314501.

It is a perfect power (a 7-th power), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105413504² = 22224013651116032, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 105413504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15059069 + ... + 15059075.

Almost surely, 2^105413504 is an apocalyptic number.

105413504 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 105413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122502000).

105413504 is an abundant number, since it is smaller than the sum of its proper divisors (139590496).

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

105413504 is an frugal number, since it uses more digits than its factorization.

105413504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 105413504 is about 10267.1078693077. The cubic root of 105413504 is about 472.3878837783.

The spelling of 105413504 in words is "one hundred five million, four hundred thirteen thousand, five hundred four".