105010605501010 has 96 divisors (see below), whose sum is σ = 208220943893760. Its totient is φ = 38101870984320.

The previous prime is 105010605500917. The next prime is 105010605501017. The reversal of 105010605501010 is 10105506010501.

It is a super-2 number, since 2×105010605501010² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105010605501017) 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, 3059108467 + ... + 3059142793.

It is an arithmetic number, because the mean of its divisors is an integer number (2168968165560).

Almost surely, 2^{105010605501010} is an apocalyptic number.

105010605501010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105010605501010 is a deficient number, since it is larger than the sum of its proper divisors (103210338392750).

105010605501010 is a wasteful number, since it uses less digits than its factorization.

105010605501010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39832 (or 39821 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 105010605501010 in words is "one hundred five trillion, ten billion, six hundred five million, five hundred one thousand, ten".