102228120 has 96 divisors (see below), whose sum is σ = 337942800. Its totient is φ = 26793216.

The previous prime is 102228109. The next prime is 102228127. The reversal of 102228120 is 21822201.

It is a happy number.

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 = 102228093 and 102228102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102228127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18834 + ... + 23646.

Almost surely, 2^102228120 is an apocalyptic number.

102228120 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 102228120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168971400).

102228120 is an abundant number, since it is smaller than the sum of its proper divisors (235714680).

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

102228120 is a wasteful number, since it uses less digits than its factorization.

102228120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4889 (or 4882 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 102228120 is about 10110.7922538246. The cubic root of 102228120 is about 467.5809310164.

The spelling of 102228120 in words is "one hundred two million, two hundred twenty-eight thousand, one hundred twenty".