105355135501 has 32 divisors (see below), whose sum is σ = 131935223808. Its totient is φ = 81730995840.

The previous prime is 105355135493. The next prime is 105355135507. The reversal of 105355135501 is 105531553501.

It is a cyclic number.

It is not a de Polignac number, because 105355135501 - 2³ = 105355135493 is a prime.

It is a super-3 number, since 3×105355135501³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105355135507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23689060 + ... + 23693506.

It is an arithmetic number, because the mean of its divisors is an integer number (4122975744).

Almost surely, 2^105355135501 is an apocalyptic number.

105355135501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105355135501 is a deficient number, since it is larger than the sum of its proper divisors (26580088307).

105355135501 is a wasteful number, since it uses less digits than its factorization.

105355135501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5761.

The product of its (nonzero) digits is 28125, while the sum is 34.

The spelling of 105355135501 in words is "one hundred five billion, three hundred fifty-five million, one hundred thirty-five thousand, five hundred one".