105029417733 has 16 divisors (see below), whose sum is σ = 140297740800. Its totient is φ = 69890436720.

The previous prime is 105029417719. The next prime is 105029417743. The reversal of 105029417733 is 337714920501.

It is not a de Polignac number, because 105029417733 - 2⁸ = 105029417477 is a prime.

It is a super-2 number, since 2×105029417733² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105029417743) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6083928 + ... + 6101166.

It is an arithmetic number, because the mean of its divisors is an integer number (8768608800).

Almost surely, 2^105029417733 is an apocalyptic number.

It is an amenable number.

105029417733 is a deficient number, since it is larger than the sum of its proper divisors (35268323067).

105029417733 is a wasteful number, since it uses less digits than its factorization.

105029417733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20872.

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 105029417733 in words is "one hundred five billion, twenty-nine million, four hundred seventeen thousand, seven hundred thirty-three".