105010060100 has 36 divisors (see below), whose sum is σ = 248587453968. Its totient is φ = 38185476000.

The previous prime is 105010060087. The next prime is 105010060151. The reversal of 105010060100 is 1060010501.

It is a super-2 number, since 2×105010060100² (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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47730746 + ... + 47732945.

Almost surely, 2^105010060100 is an apocalyptic number.

105010060100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105010060100 is an abundant number, since it is smaller than the sum of its proper divisors (143577393868).

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

105010060100 is a wasteful number, since it uses less digits than its factorization.

105010060100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95463716 (or 95463709 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 105010060100 its reverse (1060010501), we get a palindrome (106070070601).

The spelling of 105010060100 in words is "one hundred five billion, ten million, sixty thousand, one hundred".