102112047 has 24 divisors (see below), whose sum is σ = 161216640. Its totient is φ = 62000640.

The previous prime is 102112009. The next prime is 102112063. The reversal of 102112047 is 740211201.

It is not a de Polignac number, because 102112047 - 2⁸ = 102111791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112447) 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, 6022 + ... + 15507.

It is an arithmetic number, because the mean of its divisors is an integer number (6717360).

Almost surely, 2^102112047 is an apocalyptic number.

102112047 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

102112047 is a deficient number, since it is larger than the sum of its proper divisors (59104593).

102112047 is a wasteful number, since it uses less digits than its factorization.

102112047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21583 (or 21580 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 102112047 is about 10105.0505688987. The cubic root of 102112047 is about 467.4038953317.

Adding to 102112047 its reverse (740211201), we get a palindrome (842323248).

The spelling of 102112047 in words is "one hundred two million, one hundred twelve thousand, forty-seven".