105377085 has 48 divisors (see below), whose sum is σ = 205947840. Its totient is φ = 51084000.

The previous prime is 105377071. The next prime is 105377117. The reversal of 105377085 is 580773501.

It is not a de Polignac number, because 105377085 - 2¹⁴ = 105360701 is a prime.

It is a super-2 number, since 2×105377085² = 22208660086194450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13110 + ... + 19560.

It is an arithmetic number, because the mean of its divisors is an integer number (4290580).

Almost surely, 2^105377085 is an apocalyptic number.

105377085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105377085 is a deficient number, since it is larger than the sum of its proper divisors (100570755).

105377085 is a wasteful number, since it uses less digits than its factorization.

105377085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6487 (or 6470 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 105377085 is about 10265.3341397151. The cubic root of 105377085 is about 472.3334762141. Note that the first 3 decimals are identical.

The spelling of 105377085 in words is "one hundred five million, three hundred seventy-seven thousand, eighty-five".