102873810 has 128 divisors (see below), whose sum is σ = 280756224. Its totient is φ = 23950080.

The previous prime is 102873803. The next prime is 102873811. The reversal of 102873810 is 18378201.

It is a happy number.

It is a super-2 number, since 2×102873810² = 21166041567832200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (102873811) 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 63 ways as a sum of consecutive naturals, for example, 809967 + ... + 810093.

It is an arithmetic number, because the mean of its divisors is an integer number (2193408).

Almost surely, 2^102873810 is an apocalyptic number.

102873810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102873810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140378112).

102873810 is an abundant number, since it is smaller than the sum of its proper divisors (177882414).

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

102873810 is a wasteful number, since it uses less digits than its factorization.

102873810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248.

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 102873810 is about 10142.6727246816. The cubic root of 102873810 is about 468.5633055640.

The spelling of 102873810 in words is "one hundred two million, eight hundred seventy-three thousand, eight hundred ten".