105355145151 has 64 divisors (see below), whose sum is σ = 162293391360. Its totient is φ = 67502302560.

The previous prime is 105355145117. The next prime is 105355145197. The reversal of 105355145151 is 151541553501.

105355145151 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 551 + 4 + 51 + 51 = 666.

It is not a de Polignac number, because 105355145151 - 2⁷ = 105355145023 is a prime.

It is a super-2 number, since 2×105355145151² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105355145101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29501196 + ... + 29504766.

It is an arithmetic number, because the mean of its divisors is an integer number (2535834240).

Almost surely, 2^105355145151 is an apocalyptic number.

105355145151 is a deficient number, since it is larger than the sum of its proper divisors (56938246209).

105355145151 is a wasteful number, since it uses less digits than its factorization.

105355145151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 36.

Adding to 105355145151 its reverse (151541553501), we get a palindrome (256896698652).

The spelling of 105355145151 in words is "one hundred five billion, three hundred fifty-five million, one hundred forty-five thousand, one hundred fifty-one".