102673116 has 192 divisors, whose sum is σ = 339189760. Its totient is φ = 26127360.

The previous prime is 102673091. The next prime is 102673117. The reversal of 102673116 is 611376201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102673116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102673117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304500 + ... + 304836.

Almost surely, 2^102673116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102673116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169594880).

102673116 is an abundant number, since it is smaller than the sum of its proper divisors (236516644).

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

102673116 is a wasteful number, since it uses less digits than its factorization.

102673116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 102673116 is about 10132.7743486175. The cubic root of 102673116 is about 468.2584043054.

The spelling of 102673116 in words is "one hundred two million, six hundred seventy-three thousand, one hundred sixteen".