105339054150 has 576 divisors, whose sum is σ = 344308962816. Its totient is φ = 23659776000.

The previous prime is 105339054109. The next prime is 105339054181. The reversal of 105339054150 is 51450933501.

It is a happy number.

105339054150 is a `hidden beast` number, since 10 + 53 + 3 + 9 + 0 + 541 + 50 = 666.

It is a super-2 number, since 2×105339054150² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 161315224 + ... + 161315876.

It is an arithmetic number, because the mean of its divisors is an integer number (597758616).

Almost surely, 2^105339054150 is an apocalyptic number.

105339054150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105339054150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172154481408).

105339054150 is an abundant number, since it is smaller than the sum of its proper divisors (238969908666).

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

105339054150 is a wasteful number, since it uses less digits than its factorization.

105339054150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

Adding to 105339054150 its reverse (51450933501), we get a palindrome (156789987651).

The spelling of 105339054150 in words is "one hundred five billion, three hundred thirty-nine million, fifty-four thousand, one hundred fifty".