105533380126350 has 72 divisors (see below), whose sum is σ = 309308743221192. Its totient is φ = 25583849726400.

The previous prime is 105533380126333. The next prime is 105533380126417. The reversal of 105533380126350 is 53621083335501.

105533380126350 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 3 + 3 + 3 + 8 + 0 + 1 + 2 + 635 + 0 = 666.

It is a super-2 number, since 2×105533380126350² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 105533380126296 and 105533380126305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10659932437 + ... + 10659942336.

It is an arithmetic number, because the mean of its divisors is an integer number (4295954766961).

Almost surely, 2^{105533380126350} is an apocalyptic number.

105533380126350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105533380126350 is an abundant number, since it is smaller than the sum of its proper divisors (203775363094842).

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

105533380126350 is a wasteful number, since it uses less digits than its factorization.

105533380126350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21319874802 (or 21319874794 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 105533380126350 in words is "one hundred five trillion, five hundred thirty-three billion, three hundred eighty million, one hundred twenty-six thousand, three hundred fifty".