105053360 has 40 divisors (see below), whose sum is σ = 250857456. Its totient is φ = 40884480.

The previous prime is 105053359. The next prime is 105053363. The reversal of 105053360 is 63350501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105053360² = 22072416894579200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105053363) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14786 + ... + 20705.

Almost surely, 2^105053360 is an apocalyptic number.

105053360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105053360 is an abundant number, since it is smaller than the sum of its proper divisors (145804096).

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

105053360 is a wasteful number, since it uses less digits than its factorization.

105053360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35541 (or 35535 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 105053360 is about 10249.5541366442. The cubic root of 105053360 is about 471.8493007363.

The spelling of 105053360 in words is "one hundred five million, fifty-three thousand, three hundred sixty".