100134490366368 has 480 divisors, whose sum is σ = 320838287616000. Its totient is φ = 30520453501440.

The previous prime is 100134490366367. The next prime is 100134490366423. The reversal of 100134490366368 is 863663094431001.

100134490366368 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 4 + 490 + 36 + 63 + 68 = 666.

It is a super-2 number, since 2×100134490366368² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (100134490366363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 578528223 + ... + 578701281.

It is an arithmetic number, because the mean of its divisors is an integer number (668413099200).

Almost surely, 2^{100134490366368} is an apocalyptic number.

100134490366368 is a gapful number since it is divisible by the number (18) 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 100134490366368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160419143808000).

100134490366368 is an abundant number, since it is smaller than the sum of its proper divisors (220703797249632).

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

100134490366368 is a wasteful number, since it uses less digits than its factorization.

100134490366368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173510 (or 173493 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 100134490366368 in words is "one hundred trillion, one hundred thirty-four billion, four hundred ninety million, three hundred sixty-six thousand, three hundred sixty-eight".