105112828148700 has 72 divisors (see below), whose sum is σ = 310597225005312. Its totient is φ = 27433702662080.

The previous prime is 105112828148659. The next prime is 105112828148711. The reversal of 105112828148700 is 7841828211501.

It is a super-2 number, since 2×105112828148700² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105112828148700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3727391154 + ... + 3727419353.

It is an arithmetic number, because the mean of its divisors is an integer number (4313850347296).

Almost surely, 2^{105112828148700} is an apocalyptic number.

105112828148700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105112828148700 is an abundant number, since it is smaller than the sum of its proper divisors (205484396856612).

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

105112828148700 is a wasteful number, since it uses less digits than its factorization.

105112828148700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7454810571 (or 7454810564 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 48.

The spelling of 105112828148700 in words is "one hundred five trillion, one hundred twelve billion, eight hundred twenty-eight million, one hundred forty-eight thousand, seven hundred".