106530260800 has 42 divisors (see below), whose sum is σ = 262131026918. Its totient is φ = 42612103680.

The previous prime is 106530260791. The next prime is 106530260821. The reversal of 106530260800 is 8062035601.

It can be written as a sum of positive squares in 3 ways, for example, as 10311183936 + 96219076864 = 101544^2 + 310192^2 .

It is a super-2 number, since 2×106530260800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33289107 + ... + 33292306.

Almost surely, 2^106530260800 is an apocalyptic number.

106530260800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106530260800 is an abundant number, since it is smaller than the sum of its proper divisors (155600766118).

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

106530260800 is an equidigital number, since it uses as much as digits as its factorization.

106530260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66581435 (or 66581420 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 106530260800 in words is "one hundred six billion, five hundred thirty million, two hundred sixty thousand, eight hundred".