105070307227530 has 128 divisors (see below), whose sum is σ = 265785869721600. Its totient is φ = 26509581907200.

The previous prime is 105070307227499. The next prime is 105070307227573. The reversal of 105070307227530 is 35722703070501.

It is a super-2 number, since 2×105070307227530² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2516090791 + ... + 2516132549.

It is an arithmetic number, because the mean of its divisors is an integer number (2076452107200).

Almost surely, 2^{105070307227530} is an apocalyptic number.

105070307227530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105070307227530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132892934860800).

105070307227530 is an abundant number, since it is smaller than the sum of its proper divisors (160715562494070).

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

105070307227530 is a wasteful number, since it uses less digits than its factorization.

105070307227530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47420.

The product of its (nonzero) digits is 308700, while the sum is 42.

The spelling of 105070307227530 in words is "one hundred five trillion, seventy billion, three hundred seven million, two hundred twenty-seven thousand, five hundred thirty".