102711672 has 64 divisors (see below), whose sum is σ = 326073600. Its totient is φ = 29345760.

The previous prime is 102711659. The next prime is 102711673. The reversal of 102711672 is 276117201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102711673) 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, 32454 + ... + 35477.

It is an arithmetic number, because the mean of its divisors is an integer number (5094900).

Almost surely, 2^102711672 is an apocalyptic number.

102711672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102711672 is an abundant number, since it is smaller than the sum of its proper divisors (223361928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102711672 is a wasteful number, since it uses less digits than its factorization.

102711672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67953 (or 67943 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 102711672 is about 10134.6767092000. The cubic root of 102711672 is about 468.3170107264.

Adding to 102711672 its reverse (276117201), we get a palindrome (378828873).

The spelling of 102711672 in words is "one hundred two million, seven hundred eleven thousand, six hundred seventy-two".