102642111 has 48 divisors (see below), whose sum is σ = 175567392. Its totient is φ = 56966400.

The previous prime is 102642103. The next prime is 102642121. The reversal of 102642111 is 111246201.

102642111 is a `hidden beast` number, since 10 + 2 + 642 + 1 + 11 = 666.

It is not a de Polignac number, because 102642111 - 2³ = 102642103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102642101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222421 + ... + 222881.

It is an arithmetic number, because the mean of its divisors is an integer number (3657654).

Almost surely, 2^102642111 is an apocalyptic number.

102642111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102642111 is a deficient number, since it is larger than the sum of its proper divisors (72925281).

102642111 is a wasteful number, since it uses less digits than its factorization.

102642111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 102642111 is about 10131.2442967288. The cubic root of 102642111 is about 468.2112650151.

Adding to 102642111 its reverse (111246201), we get a palindrome (213888312).

The spelling of 102642111 in words is "one hundred two million, six hundred forty-two thousand, one hundred eleven".