105032153022433 has 16 divisors (see below), whose sum is σ = 129277734818176. Its totient is φ = 83097610421760.

The previous prime is 105032153022427. The next prime is 105032153022451. The reversal of 105032153022433 is 334220351230501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105032153022433 is a prime.

It is a super-2 number, since 2×105032153022433² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105032153022403) 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, 31402416 + ... + 34585777.

It is an arithmetic number, because the mean of its divisors is an integer number (8079858426136).

Almost surely, 2^{105032153022433} is an apocalyptic number.

105032153022433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105032153022433 is a deficient number, since it is larger than the sum of its proper divisors (24245581795743).

105032153022433 is a wasteful number, since it uses less digits than its factorization.

105032153022433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66005704.

The product of its (nonzero) digits is 64800, while the sum is 34.

The spelling of 105032153022433 in words is "one hundred five trillion, thirty-two billion, one hundred fifty-three million, twenty-two thousand, four hundred thirty-three".