105010010610 has 32 divisors (see below), whose sum is σ = 257885052480. Its totient is φ = 27351444288.

The previous prime is 105010010587. The next prime is 105010010617. The reversal of 105010010610 is 16010010501.

It is a super-2 number, since 2×105010010610² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105010010610.

It is not an unprimeable number, because it can be changed into a prime (105010010617) 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 15 ways as a sum of consecutive naturals, for example, 40700265 + ... + 40702844.

It is an arithmetic number, because the mean of its divisors is an integer number (8058907890).

Almost surely, 2^105010010610 is an apocalyptic number.

105010010610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105010010610 is an abundant number, since it is smaller than the sum of its proper divisors (152875041870).

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

105010010610 is a wasteful number, since it uses less digits than its factorization.

105010010610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81403162.

The product of its (nonzero) digits is 30, while the sum is 15.

The spelling of 105010010610 in words is "one hundred five billion, ten million, ten thousand, six hundred ten".