105142515 has 16 divisors (see below), whose sum is σ = 169896096. Its totient is φ = 55520000.

The previous prime is 105142463. The next prime is 105142547. The reversal of 105142515 is 515241501.

It is not a de Polignac number, because 105142515 - 2⁶ = 105142451 is a prime.

It is a super-2 number, since 2×105142515² = 22109896921050450, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33186 + ... + 36215.

It is an arithmetic number, because the mean of its divisors is an integer number (10618506).

Almost surely, 2^105142515 is an apocalyptic number.

105142515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105142515 is a deficient number, since it is larger than the sum of its proper divisors (64753581).

105142515 is a wasteful number, since it uses less digits than its factorization.

105142515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69510.

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 105142515 is about 10253.9024278564. The cubic root of 105142515 is about 471.9827434920.

The spelling of 105142515 in words is "one hundred five million, one hundred forty-two thousand, five hundred fifteen".