105401332533 has 16 divisors (see below), whose sum is σ = 160616776320. Its totient is φ = 60227374656.

The previous prime is 105401332529. The next prime is 105401332537. The reversal of 105401332533 is 335233104501.

It is an interprime number because it is at equal distance from previous prime (105401332529) and next prime (105401332537).

It is not a de Polignac number, because 105401332533 - 2² = 105401332529 is a prime.

It is a super-2 number, since 2×105401332533² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105401332533.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105401332537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 802423 + ... + 924491.

It is an arithmetic number, because the mean of its divisors is an integer number (10038548520).

Almost surely, 2^105401332533 is an apocalyptic number.

It is an amenable number.

105401332533 is a deficient number, since it is larger than the sum of its proper divisors (55215443787).

105401332533 is a wasteful number, since it uses less digits than its factorization.

105401332533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163196.

The product of its (nonzero) digits is 16200, while the sum is 30.

The spelling of 105401332533 in words is "one hundred five billion, four hundred one million, three hundred thirty-two thousand, five hundred thirty-three".