105210100000000 has 648 divisors, whose sum is σ = 273640359896064. Its totient is φ = 40339200000000.

The previous prime is 105210099999997. The next prime is 105210100000007. The reversal of 105210100000000 is 1012501.

It is a happy number.

It is a super-2 number, since 2×105210100000000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105210100000007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 274699999809 + ... + 274700000191.

Almost surely, 2^{105210100000000} is an apocalyptic number.

105210100000000 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 105210100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136820179948032).

105210100000000 is an abundant number, since it is smaller than the sum of its proper divisors (168430259896064).

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

105210100000000 is an frugal number, since it uses more digits than its factorization.

105210100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 498 counting only the distinct ones).

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

Adding to 105210100000000 its reverse (1012501), we get a palindrome (105210101012501).

The spelling of 105210100000000 in words is "one hundred five trillion, two hundred ten billion, one hundred million", and thus it is an aban number.