105070741314 has 192 divisors, whose sum is σ = 280201420800. Its totient is φ = 25622023680.

The previous prime is 105070741313. The next prime is 105070741351. The reversal of 105070741314 is 413147070501.

It is a happy number.

It is a super-2 number, since 2×105070741314² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (105070741313) 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 95 ways as a sum of consecutive naturals, for example, 41381457 + ... + 41383995.

It is an arithmetic number, because the mean of its divisors is an integer number (1459382400).

Almost surely, 2^105070741314 is an apocalyptic number.

105070741314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105070741314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140100710400).

105070741314 is an abundant number, since it is smaller than the sum of its proper divisors (175130679486).

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

105070741314 is a wasteful number, since it uses less digits than its factorization.

105070741314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 105070741314 in words is "one hundred five billion, seventy million, seven hundred forty-one thousand, three hundred fourteen".