105465010 has 64 divisors (see below), whose sum is σ = 230169600. Its totient is φ = 33988032.

The previous prime is 105464993. The next prime is 105465011. The reversal of 105465010 is 10564501.

It is a super-2 number, since 2×105465010² = 22245736668600200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105465011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237849 + ... + 238291.

It is an arithmetic number, because the mean of its divisors is an integer number (3596400).

Almost surely, 2^105465010 is an apocalyptic number.

105465010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105465010 is an abundant number, since it is smaller than the sum of its proper divisors (124704590).

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

105465010 is a wasteful number, since it uses less digits than its factorization.

105465010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655.

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 105465010 is about 10269.6158642863. The cubic root of 105465010 is about 472.4648089279.

The spelling of 105465010 in words is "one hundred five million, four hundred sixty-five thousand, ten".