102228480 has 400 divisors, whose sum is σ = 401056920. Its totient is φ = 24772608.

The previous prime is 102228479. The next prime is 102228551. The reversal of 102228480 is 84822201.

It can be written as a sum of positive squares in 4 ways, for example, as 93083904 + 9144576 = 9648^2 + 3024^2 .

It is a super-2 number, since 2×102228480² = 20901324246220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3525106 + ... + 3525134.

Almost surely, 2^102228480 is an apocalyptic number.

102228480 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 102228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200528460).

102228480 is an abundant number, since it is smaller than the sum of its proper divisors (298828440).

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

102228480 is an equidigital number, since it uses as much as digits as its factorization.

102228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 102228480 is about 10110.8100565682. The cubic root of 102228480 is about 467.5814798834.

The spelling of 102228480 in words is "one hundred two million, two hundred twenty-eight thousand, four hundred eighty".