105120100000 has 144 divisors (see below), whose sum is σ = 260599554936. Its totient is φ = 41735680000.

The previous prime is 105120099907. The next prime is 105120100037. The reversal of 105120100000 is 1021501.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 37105546384 + 68014553616 = 192628^2 + 260796^2 .

It is a super-2 number, since 2×105120100000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 105120100000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13696164 + ... + 13703836.

Almost surely, 2^105120100000 is an apocalyptic number.

105120100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105120100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130299777468).

105120100000 is an abundant number, since it is smaller than the sum of its proper divisors (155479454936).

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

105120100000 is an frugal number, since it uses more digits than its factorization.

105120100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7845 (or 7817 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

Adding to 105120100000 its reverse (1021501), we get a palindrome (105121121501).

It can be divided in two parts, 105120 and 100000, that added together give a triangular number (205120 = T₆₄₀).

The spelling of 105120100000 in words is "one hundred five billion, one hundred twenty million, one hundred thousand".