105338000197872 has 320 divisors, whose sum is σ = 349135653888000. Its totient is φ = 30118979284992.

The previous prime is 105338000197847. The next prime is 105338000197901. The reversal of 105338000197872 is 278791000833501.

It is a happy number.

105338000197872 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 380 + 0 + 0 + 197 + 8 + 72 = 666.

It is a super-2 number, since 2×105338000197872² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559129 + ... + 14525447.

It is an arithmetic number, because the mean of its divisors is an integer number (1091048918400).

Almost surely, 2^{105338000197872} is an apocalyptic number.

105338000197872 is a gapful number since it is divisible by the number (12) 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 105338000197872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174567826944000).

105338000197872 is an abundant number, since it is smaller than the sum of its proper divisors (243797653690128).

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

105338000197872 is a wasteful number, since it uses less digits than its factorization.

105338000197872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13966445 (or 13966433 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 105338000197872 in words is "one hundred five trillion, three hundred thirty-eight billion, one hundred ninety-seven thousand, eight hundred seventy-two".