105332601505 has 32 divisors (see below), whose sum is σ = 130997357568. Its totient is φ = 81223046400.

The previous prime is 105332601503. The next prime is 105332601541. The reversal of 105332601505 is 505106233501.

It is not a de Polignac number, because 105332601505 - 2¹ = 105332601503 is a prime.

It is a super-2 number, since 2×105332601505² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105332601503) 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, 55233762 + ... + 55235668.

It is an arithmetic number, because the mean of its divisors is an integer number (4093667424).

Almost surely, 2^105332601505 is an apocalyptic number.

It is an amenable number.

105332601505 is a deficient number, since it is larger than the sum of its proper divisors (25664756063).

105332601505 is a wasteful number, since it uses less digits than its factorization.

105332601505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3177.

The product of its (nonzero) digits is 13500, while the sum is 31.

The spelling of 105332601505 in words is "one hundred five billion, three hundred thirty-two million, six hundred one thousand, five hundred five".