105266260 has 24 divisors (see below), whose sum is σ = 241155936. Its totient is φ = 38278560.

The previous prime is 105266257. The next prime is 105266269. The reversal of 105266260 is 62662501.

105266260 = 1770² + 1771² + ... + 1802².

It is a super-2 number, since 2×105266260² = 22161970988775200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105266269) 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, 239022 + ... + 239461.

It is an arithmetic number, because the mean of its divisors is an integer number (10048164).

Almost surely, 2^105266260 is an apocalyptic number.

105266260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105266260 is an abundant number, since it is smaller than the sum of its proper divisors (135889676).

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

105266260 is a wasteful number, since it uses less digits than its factorization.

105266260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478503 (or 478501 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 105266260 is about 10259.9346976479. The cubic root of 105266260 is about 472.1678338796.

The spelling of 105266260 in words is "one hundred five million, two hundred sixty-six thousand, two hundred sixty".