106104584001024 has 480 divisors, whose sum is σ = 362107418999040. Its totient is φ = 29264733388800.

The previous prime is 106104584001001. The next prime is 106104584001041. The reversal of 106104584001024 is 420100485401601.

106104584001024 is a `hidden beast` number, since 1 + 0 + 61 + 0 + 4 + 584 + 0 + 0 + 10 + 2 + 4 = 666.

It is a super-2 number, since 2×106104584001024² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106104584001024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9850944759 + ... + 9850955529.

It is an arithmetic number, because the mean of its divisors is an integer number (754390456248).

Almost surely, 2^{106104584001024} is an apocalyptic number.

106104584001024 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 106104584001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181053709499520).

106104584001024 is an abundant number, since it is smaller than the sum of its proper divisors (256002834998016).

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

106104584001024 is a wasteful number, since it uses less digits than its factorization.

106104584001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21362 (or 21343 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 106104584001024 in words is "one hundred six trillion, one hundred four billion, five hundred eighty-four million, one thousand, twenty-four".