102180111 has 16 divisors (see below), whose sum is σ = 149455488. Its totient is φ = 61581600.

The previous prime is 102180109. The next prime is 102180121. The reversal of 102180111 is 111081201.

It is not a de Polignac number, because 102180111 - 2¹ = 102180109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102180121) 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, 2581 + ... + 14526.

It is an arithmetic number, because the mean of its divisors is an integer number (9340968).

Almost surely, 2^102180111 is an apocalyptic number.

102180111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102180111 is a deficient number, since it is larger than the sum of its proper divisors (47275377).

102180111 is a wasteful number, since it uses less digits than its factorization.

102180111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17302.

The product of its (nonzero) digits is 16, while the sum is 15.

The square root of 102180111 is about 10108.4178287208. The cubic root of 102180111 is about 467.5077234752.

The spelling of 102180111 in words is "one hundred two million, one hundred eighty thousand, one hundred eleven".