105011523505 has 16 divisors (see below), whose sum is σ = 144027901440. Its totient is φ = 72001852992.

The previous prime is 105011523467. The next prime is 105011523509. The reversal of 105011523505 is 505325110501.

It is a cyclic number.

It is not a de Polignac number, because 105011523505 - 2¹³ = 105011515313 is a prime.

It is a super-2 number, since 2×105011523505² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105011523509) 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, 318691 + ... + 558199.

It is an arithmetic number, because the mean of its divisors is an integer number (9001743840).

Almost surely, 2^105011523505 is an apocalyptic number.

It is an amenable number.

105011523505 is a deficient number, since it is larger than the sum of its proper divisors (39016377935).

105011523505 is a wasteful number, since it uses less digits than its factorization.

105011523505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252048.

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 105011523505 in words is "one hundred five billion, eleven million, five hundred twenty-three thousand, five hundred five".