105261504 has 56 divisors (see below), whose sum is σ = 280202640. Its totient is φ = 34873344.

The previous prime is 105261491. The next prime is 105261509. The reversal of 105261504 is 405162501.

It is a super-2 number, since 2×105261504² = 22159968448684032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105261509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31632 + ... + 34800.

Almost surely, 2^105261504 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 105261504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140101320).

105261504 is an abundant number, since it is smaller than the sum of its proper divisors (174941136).

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

105261504 is a wasteful number, since it uses less digits than its factorization.

105261504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105261504 is about 10259.7029196756. The cubic root of 105261504 is about 472.1607228197.

The spelling of 105261504 in words is "one hundred five million, two hundred sixty-one thousand, five hundred four".