105834769152 has 432 divisors, whose sum is σ = 365238599040. Its totient is φ = 26958790656.

The previous prime is 105834769151. The next prime is 105834769177. The reversal of 105834769152 is 251967438501.

It is a super-2 number, since 2×105834769152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 105834769095 and 105834769104.

It is not an unprimeable number, because it can be changed into a prime (105834769151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12150783 + ... + 12159489.

It is an arithmetic number, because the mean of its divisors is an integer number (845459720).

It is a 1-persistent number, because it is pandigital, but 2⋅105834769152 = 211669538304 is not.

Almost surely, 2^105834769152 is an apocalyptic number.

105834769152 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 105834769152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182619299520).

105834769152 is an abundant number, since it is smaller than the sum of its proper divisors (259403829888).

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

105834769152 is a wasteful number, since it uses less digits than its factorization.

105834769152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8776 (or 8755 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 105834769152 in words is "one hundred five billion, eight hundred thirty-four million, seven hundred sixty-nine thousand, one hundred fifty-two".