100814786257860 has 288 divisors, whose sum is σ = 327574828788480. Its totient is φ = 25007743401984.

The previous prime is 100814786257837. The next prime is 100814786257909. The reversal of 100814786257860 is 68752687418001.

It is a happy number.

100814786257860 is a `hidden beast` number, since 1 + 0 + 0 + 81 + 478 + 6 + 2 + 5 + 7 + 86 + 0 = 666.

It is a super-2 number, since 2×100814786257860² (a number of 29 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 219120177 + ... + 219579783.

It is an arithmetic number, because the mean of its divisors is an integer number (1137412599960).

Almost surely, 2^{100814786257860} is an apocalyptic number.

100814786257860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100814786257860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163787414394240).

100814786257860 is an abundant number, since it is smaller than the sum of its proper divisors (226760042530620).

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

100814786257860 is a wasteful number, since it uses less digits than its factorization.

100814786257860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460475 (or 460470 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 100814786257860 in words is "one hundred trillion, eight hundred fourteen billion, seven hundred eighty-six million, two hundred fifty-seven thousand, eight hundred sixty".