105010661610 has 24 divisors (see below), whose sum is σ = 273027720420. Its totient is φ = 28002843072.

The previous prime is 105010661557. The next prime is 105010661627. The reversal of 105010661610 is 16166010501.

It can be written as a sum of positive squares in 2 ways, for example, as 104663249289 + 347412321 = 323517^2 + 18639^2 .

It is a super-2 number, since 2×105010661610² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 583392475 + ... + 583392654.

Almost surely, 2^105010661610 is an apocalyptic number.

105010661610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105010661610 is an abundant number, since it is smaller than the sum of its proper divisors (168017058810).

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

105010661610 is a wasteful number, since it uses less digits than its factorization.

105010661610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166785142 (or 1166785139 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 105010661610 in words is "one hundred five billion, ten million, six hundred sixty-one thousand, six hundred ten".