102258541 has 24 divisors (see below), whose sum is σ = 130572864. Its totient is φ = 79188480.

The previous prime is 102258521. The next prime is 102258557. The reversal of 102258541 is 145852201.

It is not a de Polignac number, because 102258541 - 2⁹ = 102258029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102258521) 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, 103536 + ... + 104518.

It is an arithmetic number, because the mean of its divisors is an integer number (5440536).

Almost surely, 2^102258541 is an apocalyptic number.

102258541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102258541 is a deficient number, since it is larger than the sum of its proper divisors (28314323).

102258541 is a wasteful number, since it uses less digits than its factorization.

102258541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 102258541 is about 10112.2965245289. The cubic root of 102258541 is about 467.6273072606.

The spelling of 102258541 in words is "one hundred two million, two hundred fifty-eight thousand, five hundred forty-one".