105416465 has 32 divisors (see below), whose sum is σ = 166026240. Its totient is φ = 62251200.

The previous prime is 105416411. The next prime is 105416491. The reversal of 105416465 is 564614501.

It is not a de Polignac number, because 105416465 - 2¹⁰ = 105415441 is a prime.

It is a super-2 number, since 2×105416465² = 22225262186192450, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110 + ... + 14520.

It is an arithmetic number, because the mean of its divisors is an integer number (5188320).

Almost surely, 2^105416465 is an apocalyptic number.

It is an amenable number.

105416465 is a deficient number, since it is larger than the sum of its proper divisors (60609775).

105416465 is a wasteful number, since it uses less digits than its factorization.

105416465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14453.

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 105416465 is about 10267.2520666437. The cubic root of 105416465 is about 472.3923067646.

The spelling of 105416465 in words is "one hundred five million, four hundred sixteen thousand, four hundred sixty-five".