102052041 has 32 divisors (see below), whose sum is σ = 168607488. Its totient is φ = 53464320.

The previous prime is 102052039. The next prime is 102052061. The reversal of 102052041 is 140250201.

102052041 is a nontrivial binomial coefficient, being equal to C(14287, 2).

It is not a de Polignac number, because 102052041 - 2¹ = 102052039 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102052041.

It is not an unprimeable number, because it can be changed into a prime (102052061) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 41671 + ... + 44051.

It is an arithmetic number, because the mean of its divisors is an integer number (5268984).

Almost surely, 2^102052041 is an apocalyptic number.

102052041 is the 14286-th triangular number.

It is an amenable number.

102052041 is a deficient number, since it is larger than the sum of its proper divisors (66555447).

102052041 is a wasteful number, since it uses less digits than its factorization.

102052041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 102052041 is about 10102.0810232348. The cubic root of 102052041 is about 467.3123209788.

It can be divided in two parts, 10205 and 2041, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 102052041 in words is "one hundred two million, fifty-two thousand, forty-one".