105106100010 has 32 divisors (see below), whose sum is σ = 252281399040. Its totient is φ = 28025320128.

The previous prime is 105106099999. The next prime is 105106100041. The reversal of 105106100010 is 10001601501.

It is a super-2 number, since 2×105106100010² (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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109384 + ... + 471356.

It is an arithmetic number, because the mean of its divisors is an integer number (7883793720).

Almost surely, 2^105106100010 is an apocalyptic number.

105106100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105106100010 is an abundant number, since it is smaller than the sum of its proper divisors (147175299030).

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

105106100010 is a wasteful number, since it uses less digits than its factorization.

105106100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371662.

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

Adding to 105106100010 its reverse (10001601501), we get a palindrome (115107701511).

The spelling of 105106100010 in words is "one hundred five billion, one hundred six million, one hundred thousand, ten".