102560220 has 144 divisors (see below), whose sum is σ = 371105280. Its totient is φ = 22416768.

The previous prime is 102560209. The next prime is 102560261. The reversal of 102560220 is 22065201.

102560220 is a `hidden beast` number, since 102 + 560 + 2 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102560193 and 102560202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27211 + ... + 30749.

It is an arithmetic number, because the mean of its divisors is an integer number (2577120).

Almost surely, 2^102560220 is an apocalyptic number.

102560220 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 102560220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185552640).

102560220 is an abundant number, since it is smaller than the sum of its proper divisors (268545060).

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

102560220 is a wasteful number, since it uses less digits than its factorization.

102560220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102560220 is about 10127.2019827789. The cubic root of 102560220 is about 468.0867141534.

The spelling of 102560220 in words is "one hundred two million, five hundred sixty thousand, two hundred twenty".