105007342633 has 8 divisors (see below), whose sum is σ = 105566123520. Its totient is φ = 104448655920.

The previous prime is 105007342591. The next prime is 105007342639. The reversal of 105007342633 is 336243700501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105007342633 - 2²¹ = 105005245481 is a prime.

It is a super-2 number, since 2×105007342633² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105007342639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4432566 + ... + 4456192.

It is an arithmetic number, because the mean of its divisors is an integer number (13195765440).

Almost surely, 2^105007342633 is an apocalyptic number.

It is an amenable number.

105007342633 is a deficient number, since it is larger than the sum of its proper divisors (558780887).

105007342633 is a wasteful number, since it uses less digits than its factorization.

105007342633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47087.

The product of its (nonzero) digits is 45360, while the sum is 34.

The spelling of 105007342633 in words is "one hundred five billion, seven million, three hundred forty-two thousand, six hundred thirty-three".