100545368482944 has 2304 divisors, whose sum is σ = 387429836451840. Its totient is φ = 24306031411200.

The previous prime is 100545368482939. The next prime is 100545368482963. The reversal of 100545368482944 is 449284863545001.

100545368482944 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 4 + 5 + 3 + 68 + 482 + 94 + 4 = 666.

It is a super-2 number, since 2×100545368482944² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 343158254062 + ... + 343158254354.

It is an arithmetic number, because the mean of its divisors is an integer number (168155310960).

Almost surely, 2^{100545368482944} is an apocalyptic number.

100545368482944 is a gapful number since it is divisible by the number (14) 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 100545368482944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193714918225920).

100545368482944 is an abundant number, since it is smaller than the sum of its proper divisors (286884467968896).

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

100545368482944 is a wasteful number, since it uses less digits than its factorization.

100545368482944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 100545368482944 in words is "one hundred trillion, five hundred forty-five billion, three hundred sixty-eight million, four hundred eighty-two thousand, nine hundred forty-four".