102005672 has 16 divisors (see below), whose sum is σ = 193566240. Its totient is φ = 50388016.

The previous prime is 102005671. The next prime is 102005677. The reversal of 102005672 is 276500201.

It is not an unprimeable number, because it can be changed into a prime (102005671) 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 3 ways as a sum of consecutive naturals, for example, 76148 + ... + 77475.

It is an arithmetic number, because the mean of its divisors is an integer number (12097890).

Almost surely, 2^102005672 is an apocalyptic number.

It is an amenable number.

102005672 is a deficient number, since it is larger than the sum of its proper divisors (91560568).

102005672 is a wasteful number, since it uses less digits than its factorization.

102005672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153712 (or 153708 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 102005672 is about 10099.7857403016. The cubic root of 102005672 is about 467.2415332791.

Adding to 102005672 its reverse (276500201), we get a palindrome (378505873).

The spelling of 102005672 in words is "one hundred two million, five thousand, six hundred seventy-two".