105633106426650 has 384 divisors, whose sum is σ = 315794416435200. Its totient is φ = 23079708000000.

The previous prime is 105633106426637. The next prime is 105633106426651. The reversal of 105633106426650 is 56624601336501.

It is a super-2 number, since 2×105633106426650² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105633106426650.

It is not an unprimeable number, because it can be changed into a prime (105633106426651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56418025 + ... + 58260275.

It is an arithmetic number, because the mean of its divisors is an integer number (822381292800).

Almost surely, 2^{105633106426650} is an apocalyptic number.

105633106426650 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 105633106426650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157897208217600).

105633106426650 is an abundant number, since it is smaller than the sum of its proper divisors (210161310008550).

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

105633106426650 is a wasteful number, since it uses less digits than its factorization.

105633106426650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842386 (or 1842381 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 105633106426650 in words is "one hundred five trillion, six hundred thirty-three billion, one hundred six million, four hundred twenty-six thousand, six hundred fifty".