105038514 has 48 divisors (see below), whose sum is σ = 265644288. Its totient is φ = 29370816.

The previous prime is 105038501. The next prime is 105038533. The reversal of 105038514 is 415830501.

It is a super-2 number, since 2×105038514² = 22066178846656392, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2947 + ... + 14790.

It is an arithmetic number, because the mean of its divisors is an integer number (5534256).

Almost surely, 2^105038514 is an apocalyptic number.

105038514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105038514 is an abundant number, since it is smaller than the sum of its proper divisors (160605774).

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

105038514 is a wasteful number, since it uses less digits than its factorization.

105038514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17799 (or 17796 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 105038514 is about 10248.8298844307. The cubic root of 105038514 is about 471.8270726523.

The spelling of 105038514 in words is "one hundred five million, thirty-eight thousand, five hundred fourteen".