102673800 has 72 divisors (see below), whose sum is σ = 344818890. Its totient is φ = 27379200.

The previous prime is 102673783. The next prime is 102673807. The reversal of 102673800 is 8376201.

It can be written as a sum of positive squares in 3 ways, for example, as 70660836 + 32012964 = 8406^2 + 5658^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (102673807) 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 17 ways as a sum of consecutive naturals, for example, 26721 + ... + 30320.

Almost surely, 2^102673800 is an apocalyptic number.

102673800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102673800 is an abundant number, since it is smaller than the sum of its proper divisors (242145090).

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

102673800 is a wasteful number, since it uses less digits than its factorization.

102673800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57063 (or 57051 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 102673800 is about 10132.8081004231. The cubic root of 102673800 is about 468.2594441363.

The spelling of 102673800 in words is "one hundred two million, six hundred seventy-three thousand, eight hundred".