100814786257864 has 32 divisors (see below), whose sum is σ = 216070449491520. Its totient is φ = 43198584037056.

The previous prime is 100814786257837. The next prime is 100814786257909. The reversal of 100814786257864 is 468752687418001.

It is a super-2 number, since 2×100814786257864² (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 100814786257864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161204514 + ... + 161828689.

It is an arithmetic number, because the mean of its divisors is an integer number (6752201546610).

Almost surely, 2^{100814786257864} is an apocalyptic number.

100814786257864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100814786257864 is an abundant number, since it is smaller than the sum of its proper divisors (115255663233656).

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

100814786257864 is a wasteful number, since it uses less digits than its factorization.

100814786257864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323038789 (or 323038785 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 67.

The spelling of 100814786257864 in words is "one hundred trillion, eight hundred fourteen billion, seven hundred eighty-six million, two hundred fifty-seven thousand, eight hundred sixty-four".