105355624063 has 8 divisors (see below), whose sum is σ = 108418207968. Its totient is φ = 102304363104.

The previous prime is 105355624009. The next prime is 105355624079. The reversal of 105355624063 is 360426553501.

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 105355624063 - 2²⁵ = 105322069631 is a prime.

It is a super-2 number, since 2×105355624063² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105355624163) 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, 2811856 + ... + 2849077.

It is an arithmetic number, because the mean of its divisors is an integer number (13552275996).

Almost surely, 2^105355624063 is an apocalyptic number.

105355624063 is a deficient number, since it is larger than the sum of its proper divisors (3062583905).

105355624063 is an equidigital number, since it uses as much as digits as its factorization.

105355624063 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5661473.

The product of its (nonzero) digits is 324000, while the sum is 40.

The spelling of 105355624063 in words is "one hundred five billion, three hundred fifty-five million, six hundred twenty-four thousand, sixty-three".