102175220 has 48 divisors (see below), whose sum is σ = 246368640. Its totient is φ = 34867584.

The previous prime is 102175189. The next prime is 102175231. The reversal of 102175220 is 22571201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102175192 and 102175201.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30467 + ... + 33653.

It is an arithmetic number, because the mean of its divisors is an integer number (5132680).

Almost surely, 2^102175220 is an apocalyptic number.

102175220 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 102175220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123184320).

102175220 is an abundant number, since it is smaller than the sum of its proper divisors (144193420).

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

102175220 is a wasteful number, since it uses less digits than its factorization.

102175220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 102175220 is about 10108.1758987465. The cubic root of 102175220 is about 467.5002640432.

The spelling of 102175220 in words is "one hundred two million, one hundred seventy-five thousand, two hundred twenty".