106083667814400 has 1728 divisors, whose sum is σ = 414293883494400. Its totient is φ = 25853313024000.

The previous prime is 106083667814363. The next prime is 106083667814429. The reversal of 106083667814400 is 4418766380601.

106083667814400 is a `hidden beast` number, since 1 + 0 + 60 + 8 + 3 + 6 + 67 + 81 + 440 + 0 = 666.

It is a super-2 number, since 2×106083667814400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29216100585 + ... + 29216104215.

It is an arithmetic number, because the mean of its divisors is an integer number (239753404800).

Almost surely, 2^{106083667814400} is an apocalyptic number.

106083667814400 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 106083667814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207146941747200).

106083667814400 is an abundant number, since it is smaller than the sum of its proper divisors (308210215680000).

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

106083667814400 is a wasteful number, since it uses less digits than its factorization.

106083667814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 106083667814400 in words is "one hundred six trillion, eighty-three billion, six hundred sixty-seven million, eight hundred fourteen thousand, four hundred".