102801680 has 20 divisors (see below), whose sum is σ = 239014092. Its totient is φ = 41120640.

The previous prime is 102801661. The next prime is 102801701. The reversal of 102801680 is 86108201.

It can be written as a sum of positive squares in 2 ways, for example, as 54582544 + 48219136 = 7388^2 + 6944^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 642431 + ... + 642590.

Almost surely, 2^102801680 is an apocalyptic number.

102801680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102801680 is an abundant number, since it is smaller than the sum of its proper divisors (136212412).

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

102801680 is a wasteful number, since it uses less digits than its factorization.

102801680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285034 (or 1285028 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 102801680 is about 10139.1163323043. The cubic root of 102801680 is about 468.4537688629.

Adding to 102801680 its reverse (86108201), we get a palindrome (188909881).

The spelling of 102801680 in words is "one hundred two million, eight hundred one thousand, six hundred eighty".