105851504 has 40 divisors (see below), whose sum is σ = 229204080. Its totient is φ = 46937600.

The previous prime is 105851467. The next prime is 105851549. The reversal of 105851504 is 405158501.

It is a super-2 number, since 2×105851504² = 22409081798124032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119 + ... + 14550.

It is an arithmetic number, because the mean of its divisors is an integer number (5730102).

Almost surely, 2^105851504 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 105851504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114602040).

105851504 is an abundant number, since it is smaller than the sum of its proper divisors (123352576).

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

105851504 is a wasteful number, since it uses less digits than its factorization.

105851504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14729 (or 14723 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 29.

The square root of 105851504 is about 10288.4160102515. The cubic root of 105851504 is about 473.0412472020.

The spelling of 105851504 in words is "one hundred five million, eight hundred fifty-one thousand, five hundred four".