102472 has 8 divisors (see below), whose sum is σ = 192150. Its totient is φ = 51232.

The previous prime is 102461. The next prime is 102481. The reversal of 102472 is 274201.

It can be written as a sum of positive squares in only one way, i.e., 93636 + 8836 = 306^2 + 94^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

102472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6397 + ... + 6412.

2¹⁰²⁴⁷² is an apocalyptic number.

It is an amenable number.

102472 is a deficient number, since it is larger than the sum of its proper divisors (89678).

102472 is a wasteful number, since it uses less digits than its factorization.

102472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12815 (or 12811 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 102472 is about 320.1124802316. The cubic root of 102472 is about 46.7952463090.

Adding to 102472 its reverse (274201), we get a palindrome (376673).

The spelling of 102472 in words is "one hundred two thousand, four hundred seventy-two", and thus it is an iban number.