105126696378 has 24 divisors (see below), whose sum is σ = 248481282816. Its totient is φ = 31856574600.

The previous prime is 105126696359. The next prime is 105126696379. The reversal of 105126696378 is 873696621501.

105126696378 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 266 + 9 + 6 + 378 = 666.

It is a super-2 number, since 2×105126696378² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105126696379) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 265471258 + ... + 265471653.

It is an arithmetic number, because the mean of its divisors is an integer number (10353386784).

Almost surely, 2^105126696378 is an apocalyptic number.

105126696378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105126696378 is an abundant number, since it is smaller than the sum of its proper divisors (143354586438).

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

105126696378 is a wasteful number, since it uses less digits than its factorization.

105126696378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530942930 (or 530942927 counting only the distinct ones).

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

The spelling of 105126696378 in words is "one hundred five billion, one hundred twenty-six million, six hundred ninety-six thousand, three hundred seventy-eight".