105125905050 has 48 divisors (see below), whose sum is σ = 264384274752. Its totient is φ = 27638732800.

The previous prime is 105125904997. The next prime is 105125905051. The reversal of 105125905050 is 50509521501.

It is a super-2 number, since 2×105125905050² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105125905051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4924839 + ... + 4946138.

It is an arithmetic number, because the mean of its divisors is an integer number (5508005724).

Almost surely, 2^105125905050 is an apocalyptic number.

105125905050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105125905050 is an abundant number, since it is smaller than the sum of its proper divisors (159258369702).

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

105125905050 is a wasteful number, since it uses less digits than its factorization.

105125905050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9871063 (or 9871058 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 33.

The spelling of 105125905050 in words is "one hundred five billion, one hundred twenty-five million, nine hundred five thousand, fifty".