105263604 has 48 divisors (see below), whose sum is σ = 275486400. Its totient is φ = 34756128.

The previous prime is 105263581. The next prime is 105263621. The reversal of 105263604 is 406362501.

105263604 is a `hidden beast` number, since 1 + 0 + 52 + 6 + 3 + 604 = 666.

It is a super-2 number, since 2×105263604² = 22160852654137632, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7002 + ... + 16110.

It is an arithmetic number, because the mean of its divisors is an integer number (5739300).

Almost surely, 2^105263604 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 105263604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137743200).

105263604 is an abundant number, since it is smaller than the sum of its proper divisors (170222796).

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

105263604 is a wasteful number, since it uses less digits than its factorization.

105263604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9229 (or 9221 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 105263604 is about 10259.8052613098. The cubic root of 105263604 is about 472.1638627169.

The spelling of 105263604 in words is "one hundred five million, two hundred sixty-three thousand, six hundred four".