105180264 has 96 divisors (see below), whose sum is σ = 332280000. Its totient is φ = 30044448.

The previous prime is 105180263. The next prime is 105180277. The reversal of 105180264 is 462081501.

It is a super-2 number, since 2×105180264² = 22125775870219392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105180263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22567 + ... + 26825.

It is an arithmetic number, because the mean of its divisors is an integer number (3461250).

Almost surely, 2^105180264 is an apocalyptic number.

105180264 is a gapful number since it is divisible by the number (14) 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 105180264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166140000).

105180264 is an abundant number, since it is smaller than the sum of its proper divisors (227099736).

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

105180264 is a wasteful number, since it uses less digits than its factorization.

105180264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 105180264 is about 10255.7429764986. The cubic root of 105180264 is about 472.0392215803.

The spelling of 105180264 in words is "one hundred five million, one hundred eighty thousand, two hundred sixty-four".