105120535113321 has 24 divisors (see below), whose sum is σ = 175585948763904. Its totient is φ = 55448194344480.

The previous prime is 105120535113313. The next prime is 105120535113353. The reversal of 105120535113321 is 123311535021501.

It is not a de Polignac number, because 105120535113321 - 2³ = 105120535113313 is a prime.

It is a super-2 number, since 2×105120535113321² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105120535113301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27504062745 + ... + 27504066566.

It is an arithmetic number, because the mean of its divisors is an integer number (7316081198496).

Almost surely, 2^{105120535113321} is an apocalyptic number.

It is an amenable number.

105120535113321 is a deficient number, since it is larger than the sum of its proper divisors (70465413650583).

105120535113321 is a wasteful number, since it uses less digits than its factorization.

105120535113321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55008129341 (or 55008129334 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The spelling of 105120535113321 in words is "one hundred five trillion, one hundred twenty billion, five hundred thirty-five million, one hundred thirteen thousand, three hundred twenty-one".