105264460 has 48 divisors (see below), whose sum is σ = 255032064. Its totient is φ = 35748288.

The previous prime is 105264451. The next prime is 105264469. The reversal of 105264460 is 64462501.

It is an interprime number because it is at equal distance from previous prime (105264451) and next prime (105264469).

It is a super-2 number, since 2×105264460² = 22161213078183200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (105264469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11467 + ... + 18493.

It is an arithmetic number, because the mean of its divisors is an integer number (5313168).

Almost surely, 2^105264460 is an apocalyptic number.

105264460 is a gapful number since it is divisible by the number (10) 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 105264460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127516032).

105264460 is an abundant number, since it is smaller than the sum of its proper divisors (149767604).

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

105264460 is a wasteful number, since it uses less digits than its factorization.

105264460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7150 (or 7148 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 105264460 is about 10259.8469774164. The cubic root of 105264460 is about 472.1651425869.

The spelling of 105264460 in words is "one hundred five million, two hundred sixty-four thousand, four hundred sixty".