106419303360 has 588 divisors, whose sum is σ = 392589712152. Its totient is φ = 27449404416.

The previous prime is 106419303329. The next prime is 106419303407. The reversal of 106419303360 is 63303914601.

106419303360 is a `hidden beast` number, since 1 + 0 + 641 + 9 + 3 + 0 + 3 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×106419303360² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1033197069 + ... + 1033197171.

Almost surely, 2^106419303360 is an apocalyptic number.

106419303360 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 106419303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196294856076).

106419303360 is an abundant number, since it is smaller than the sum of its proper divisors (286170408792).

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

106419303360 is an frugal number, since it uses more digits than its factorization.

106419303360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 106419303360 in words is "one hundred six billion, four hundred nineteen million, three hundred three thousand, three hundred sixty".