105155331 has 16 divisors (see below), whose sum is σ = 142663680. Its totient is φ = 68882240.

The previous prime is 105155327. The next prime is 105155341. The reversal of 105155331 is 133551501.

It is a cyclic number.

It is not a de Polignac number, because 105155331 - 2² = 105155327 is a prime.

It is a super-3 number, since 3×105155331³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105155311) 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, 80935 + ... + 82223.

It is an arithmetic number, because the mean of its divisors is an integer number (8916480).

Almost surely, 2^105155331 is an apocalyptic number.

105155331 is a deficient number, since it is larger than the sum of its proper divisors (37508349).

105155331 is a wasteful number, since it uses less digits than its factorization.

105155331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746.

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 105155331 is about 10254.5273416184. The cubic root of 105155331 is about 472.0019196393.

The spelling of 105155331 in words is "one hundred five million, one hundred fifty-five thousand, three hundred thirty-one".