105871553 has 24 divisors (see below), whose sum is σ = 119822976. Its totient is φ = 93297600.

The previous prime is 105871517. The next prime is 105871573. The reversal of 105871553 is 355178501.

It is not a de Polignac number, because 105871553 - 2¹⁸ = 105609409 is a prime.

It is a super-2 number, since 2×105871553² = 22417571469263618, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105871573) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340268 + ... + 340578.

It is an arithmetic number, because the mean of its divisors is an integer number (4992624).

Almost surely, 2^105871553 is an apocalyptic number.

It is an amenable number.

105871553 is a deficient number, since it is larger than the sum of its proper divisors (13951423).

105871553 is a wasteful number, since it uses less digits than its factorization.

105871553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 35.

The square root of 105871553 is about 10289.3903123557. The cubic root of 105871553 is about 473.0711110675.

The spelling of 105871553 in words is "one hundred five million, eight hundred seventy-one thousand, five hundred fifty-three".