105414334272 has 168 divisors, whose sum is σ = 332317929216. Its totient is φ = 31744963584.

The previous prime is 105414334261. The next prime is 105414334303. The reversal of 105414334272 is 272433414501.

105414334272 is a `hidden beast` number, since 1 + 0 + 54 + 1 + 4 + 334 + 272 = 666.

It is a super-2 number, since 2×105414334272² (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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202173 + ... + 501699.

It is an arithmetic number, because the mean of its divisors is an integer number (1978082912).

Almost surely, 2^105414334272 is an apocalyptic number.

105414334272 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 105414334272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166158964608).

105414334272 is an abundant number, since it is smaller than the sum of its proper divisors (226903594944).

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

105414334272 is a wasteful number, since it uses less digits than its factorization.

105414334272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299605 (or 299592 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 105414334272 its reverse (272433414501), we get a palindrome (377847748773).

The spelling of 105414334272 in words is "one hundred five billion, four hundred fourteen million, three hundred thirty-four thousand, two hundred seventy-two".