105078261200 has 120 divisors (see below), whose sum is σ = 289895567520. Its totient is φ = 36199180800.

The previous prime is 105078261191. The next prime is 105078261217. The reversal of 105078261200 is 2162870501.

It is a super-2 number, since 2×105078261200² (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 23 ways as a sum of consecutive naturals, for example, 544859 + ... + 712058.

It is an arithmetic number, because the mean of its divisors is an integer number (2415796396).

Almost surely, 2^105078261200 is an apocalyptic number.

105078261200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105078261200 is an abundant number, since it is smaller than the sum of its proper divisors (184817306320).

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

105078261200 is a wasteful number, since it uses less digits than its factorization.

105078261200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256965 (or 1256954 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 105078261200 in words is "one hundred five billion, seventy-eight million, two hundred sixty-one thousand, two hundred".