10501106100 has 36 divisors (see below), whose sum is σ = 30383201184. Its totient is φ = 2800294880.

The previous prime is 10501106093. The next prime is 10501106117. The reversal of 10501106100 is 160110501.

10501106100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10501106100² (a number of 21 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 10501106100.

It is a congruent number.

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, 17501544 + ... + 17502143.

Almost surely, 2^10501106100 is an apocalyptic number.

10501106100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10501106100 is an abundant number, since it is smaller than the sum of its proper divisors (19882095084).

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

10501106100 is a wasteful number, since it uses less digits than its factorization.

10501106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35003704 (or 35003697 counting only the distinct ones).

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

Adding to 10501106100 its reverse (160110501), we get a palindrome (10661216601).

The spelling of 10501106100 in words is "ten billion, five hundred one million, one hundred six thousand, one hundred".