105013311550000 has 240 divisors, whose sum is σ = 292734336303360. Its totient is φ = 35745521760000.

The previous prime is 105013311549997. The next prime is 105013311550097. The reversal of 105013311550000 is 55113310501.

It is a happy number.

It is a super-2 number, since 2×105013311550000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 47 ways as a sum of consecutive naturals, for example, 47570727 + ... + 49729273.

It is an arithmetic number, because the mean of its divisors is an integer number (1219726401264).

Almost surely, 2^{105013311550000} is an apocalyptic number.

105013311550000 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 105013311550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146367168151680).

105013311550000 is an abundant number, since it is smaller than the sum of its proper divisors (187721024753360).

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

105013311550000 is an equidigital number, since it uses as much as digits as its factorization.

105013311550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158726 (or 2158700 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 25.

Adding to 105013311550000 its reverse (55113310501), we get a palindrome (105068424860501).

The spelling of 105013311550000 in words is "one hundred five trillion, thirteen billion, three hundred eleven million, five hundred fifty thousand".