105535693153 has 8 divisors (see below), whose sum is σ = 116269747776. Its totient is φ = 94991622000.

The previous prime is 105535693141. The next prime is 105535693183. The reversal of 105535693153 is 351396535501.

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

It is not a de Polignac number, because 105535693153 - 2⁵ = 105535693121 is a prime.

It is a super-2 number, since 2×105535693153² (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 (105535693183) 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, 47494701 + ... + 47496922.

It is an arithmetic number, because the mean of its divisors is an integer number (14533718472).

Almost surely, 2^105535693153 is an apocalyptic number.

It is an amenable number.

105535693153 is a deficient number, since it is larger than the sum of its proper divisors (10734054623).

105535693153 is a wasteful number, since it uses less digits than its factorization.

105535693153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94991735.

The product of its (nonzero) digits is 911250, while the sum is 46.

The spelling of 105535693153 in words is "one hundred five billion, five hundred thirty-five million, six hundred ninety-three thousand, one hundred fifty-three".