105089467392 has 1386 divisors, whose sum is σ = 420084304218. Its totient is φ = 26085556224.

The previous prime is 105089467369. The next prime is 105089467397. The reversal of 105089467392 is 293764980501.

105089467392 is a `hidden beast` number, since 1 + 0 + 508 + 9 + 46 + 7 + 3 + 92 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2341011456 + 102748455936 = 48384^2 + 320544^2 .

It is a super-2 number, since 2×105089467392² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (105089467397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 6181733368 + ... + 6181733384.

It is a 1-persistent number, because it is pandigital, but 2⋅105089467392 = 210178934784 is not.

Almost surely, 2^105089467392 is an apocalyptic number.

105089467392 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 105089467392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210042152109).

105089467392 is an abundant number, since it is smaller than the sum of its proper divisors (314994836826).

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

105089467392 is an equidigital number, since it uses as much as digits as its factorization.

105089467392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 105089467392 in words is "one hundred five billion, eighty-nine million, four hundred sixty-seven thousand, three hundred ninety-two".