105051033 has 16 divisors (see below), whose sum is σ = 160652800. Its totient is φ = 67774320.

The previous prime is 105051017. The next prime is 105051049. The reversal of 105051033 is 330150501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105051017) and next prime (105051049).

It is not a de Polignac number, because 105051033 - 2⁴ = 105051017 is a prime.

It is a super-2 number, since 2×105051033² = 22071439068734178, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105050997 and 105051015.

It is not an unprimeable number, because it can be changed into a prime (105051013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61918 + ... + 63591.

It is an arithmetic number, because the mean of its divisors is an integer number (10040800).

Almost surely, 2^105051033 is an apocalyptic number.

It is an amenable number.

105051033 is a deficient number, since it is larger than the sum of its proper divisors (55601767).

105051033 is a wasteful number, since it uses less digits than its factorization.

105051033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125549 (or 125543 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 105051033 is about 10249.4406188826. The cubic root of 105051033 is about 471.8458167879.

The spelling of 105051033 in words is "one hundred five million, fifty-one thousand, thirty-three".