105506758927950 has 24 divisors (see below), whose sum is σ = 261656762141688. Its totient is φ = 28135135714080.

The previous prime is 105506758927949. The next prime is 105506758928029. The reversal of 105506758927950 is 59729857605501.

It is a super-2 number, since 2×105506758927950² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351689196277 + ... + 351689196576.

It is an arithmetic number, because the mean of its divisors is an integer number (10902365089237).

Almost surely, 2^{105506758927950} is an apocalyptic number.

105506758927950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105506758927950 is an abundant number, since it is smaller than the sum of its proper divisors (156150003213738).

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

105506758927950 is a wasteful number, since it uses less digits than its factorization.

105506758927950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703378392868 (or 703378392863 counting only the distinct ones).

The product of its (nonzero) digits is 238140000, while the sum is 69.

The spelling of 105506758927950 in words is "one hundred five trillion, five hundred six billion, seven hundred fifty-eight million, nine hundred twenty-seven thousand, nine hundred fifty".