105060010010100 has 36 divisors (see below), whose sum is σ = 303973628963424. Its totient is φ = 28016002669280.

The previous prime is 105060010010057. The next prime is 105060010010237. The reversal of 105060010010100 is 1010010060501.

It is a super-2 number, since 2×105060010010100² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105060010010100.

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, 175100016384 + ... + 175100016983.

Almost surely, 2^{105060010010100} is an apocalyptic number.

105060010010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105060010010100 is an abundant number, since it is smaller than the sum of its proper divisors (198913618953324).

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

105060010010100 is a wasteful number, since it uses less digits than its factorization.

105060010010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350200033384 (or 350200033377 counting only the distinct ones).

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

Adding to 105060010010100 its reverse (1010010060501), we get a palindrome (106070020070601).

The spelling of 105060010010100 in words is "one hundred five trillion, sixty billion, ten million, ten thousand, one hundred".