102153280 has 56 divisors (see below), whose sum is σ = 246641112. Its totient is φ = 40292352.

The previous prime is 102153269. The next prime is 102153299. The reversal of 102153280 is 82351201.

It can be written as a sum of positive squares in 4 ways, for example, as 14992384 + 87160896 = 3872^2 + 9336^2 .

It is a super-2 number, since 2×102153280² = 20870585229516800, which contains 22 as substring.

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, 21174 + ... + 25546.

Almost surely, 2^102153280 is an apocalyptic number.

102153280 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 102153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123320556).

102153280 is an abundant number, since it is smaller than the sum of its proper divisors (144487832).

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

102153280 is an equidigital number, since it uses as much as digits as its factorization.

102153280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 102153280 is about 10107.0905803797. The cubic root of 102153280 is about 467.4667996669.

The spelling of 102153280 in words is "one hundred two million, one hundred fifty-three thousand, two hundred eighty".