105210101300 has 36 divisors (see below), whose sum is σ = 228539812620. Its totient is φ = 42040926720.

The previous prime is 105210101281. The next prime is 105210101333. The reversal of 105210101300 is 3101012501.

It can be written as a sum of positive squares in 6 ways, for example, as 12947253796 + 92262847504 = 113786^2 + 303748^2 .

It is a super-2 number, since 2×105210101300² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 440735 + ... + 636134.

Almost surely, 2^105210101300 is an apocalyptic number.

105210101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105210101300 is an abundant number, since it is smaller than the sum of its proper divisors (123329711320).

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

105210101300 is a wasteful number, since it uses less digits than its factorization.

105210101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077860 (or 1077853 counting only the distinct ones).

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

Adding to 105210101300 its reverse (3101012501), we get a palindrome (108311113801).

The spelling of 105210101300 in words is "one hundred five billion, two hundred ten million, one hundred one thousand, three hundred".