102801312 has 120 divisors (see below), whose sum is σ = 320257476. Its totient is φ = 32237568.

The previous prime is 102801289. The next prime is 102801323. The reversal of 102801312 is 213108201.

It can be written as a sum of positive squares in 2 ways, for example, as 102333456 + 467856 = 10116^2 + 684^2 .

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 42898 + ... + 45230.

Almost surely, 2^102801312 is an apocalyptic number.

102801312 is a gapful number since it is divisible by the number (12) 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 102801312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160128738).

102801312 is an abundant number, since it is smaller than the sum of its proper divisors (217456164).

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

102801312 is a wasteful number, since it uses less digits than its factorization.

102801312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 102801312 is about 10139.0981847500. The cubic root of 102801312 is about 468.4532098863.

Adding to 102801312 its reverse (213108201), we get a palindrome (315909513).

The spelling of 102801312 in words is "one hundred two million, eight hundred one thousand, three hundred twelve".