102873920 has 56 divisors (see below), whose sum is σ = 250975368. Its totient is φ = 40140800.

The previous prime is 102873913. The next prime is 102873941. The reversal of 102873920 is 29378201.

It can be written as a sum of positive squares in 4 ways, for example, as 135424 + 102738496 = 368^2 + 10136^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9200 + ... + 17040.

It is an arithmetic number, because the mean of its divisors is an integer number (4481703).

Almost surely, 2^102873920 is an apocalyptic number.

102873920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125487684).

102873920 is an abundant number, since it is smaller than the sum of its proper divisors (148101448).

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

102873920 is an equidigital number, since it uses as much as digits as its factorization.

102873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7899 (or 7889 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 102873920 is about 10142.6781473140. The cubic root of 102873920 is about 468.5634725711.

The spelling of 102873920 in words is "one hundred two million, eight hundred seventy-three thousand, nine hundred twenty".