105274260 has 144 divisors (see below), whose sum is σ = 393085056. Its totient is φ = 22208256.

The previous prime is 105274259. The next prime is 105274283. The reversal of 105274260 is 62472501.

It is a super-2 number, since 2×105274260² = 22165339637095200, 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 47 ways as a sum of consecutive naturals, for example, 13167 + ... + 19593.

Almost surely, 2^105274260 is an apocalyptic number.

105274260 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 105274260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196542528).

105274260 is an abundant number, since it is smaller than the sum of its proper divisors (287810796).

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

105274260 is a wasteful number, since it uses less digits than its factorization.

105274260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6462 (or 6457 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 105274260 is about 10260.3245562701. The cubic root of 105274260 is about 472.1797948092.

The spelling of 105274260 in words is "one hundred five million, two hundred seventy-four thousand, two hundred sixty".