102671824 has 20 divisors (see below), whose sum is σ = 201164580. Its totient is φ = 50758400.

The previous prime is 102671819. The next prime is 102671851. The reversal of 102671824 is 428176201.

It can be written as a sum of positive squares in 2 ways, for example, as 18766224 + 83905600 = 4332^2 + 9160^2 .

It is a super-4 number, since 4×102671824⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 34627 + ... + 37474.

It is an arithmetic number, because the mean of its divisors is an integer number (10058229).

Almost surely, 2^102671824 is an apocalyptic number.

It is an amenable number.

102671824 is a deficient number, since it is larger than the sum of its proper divisors (98492756).

102671824 is an equidigital number, since it uses as much as digits as its factorization.

102671824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72198 (or 72192 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 102671824 is about 10132.7105949001. The cubic root of 102671824 is about 468.2564401678.

The spelling of 102671824 in words is "one hundred two million, six hundred seventy-one thousand, eight hundred twenty-four".