102181541 has 16 divisors (see below), whose sum is σ = 128325120. Its totient is φ = 79040880.

The previous prime is 102181517. The next prime is 102181579. The reversal of 102181541 is 145181201.

It is a cyclic number.

It is not a de Polignac number, because 102181541 - 2¹⁴ = 102165157 is a prime.

It is a super-2 number, since 2×102181541² = 20882134642269362, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102181511) by changing a digit.

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, 5930 + ... + 15476.

It is an arithmetic number, because the mean of its divisors is an integer number (8020320).

Almost surely, 2^102181541 is an apocalyptic number.

102181541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102181541 is a deficient number, since it is larger than the sum of its proper divisors (26143579).

102181541 is a wasteful number, since it uses less digits than its factorization.

102181541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9704.

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 102181541 is about 10108.4885616001. The cubic root of 102181541 is about 467.5099043723.

The spelling of 102181541 in words is "one hundred two million, one hundred eighty-one thousand, five hundred forty-one".