106404106505 has 16 divisors (see below), whose sum is σ = 129502707984. Its totient is φ = 83918668800.

The previous prime is 106404106433. The next prime is 106404106511. The reversal of 106404106505 is 505601404601.

It can be written as a sum of positive squares in 8 ways, for example, as 5137592329 + 101266514176 = 71677^2 + 318224^2 .

It is a de Polignac number, because none of the positive numbers 2^k-106404106505 is a prime.

It is a super-2 number, since 2×106404106505² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334484 + ... + 569813.

It is an arithmetic number, because the mean of its divisors is an integer number (8093919249).

Almost surely, 2^106404106505 is an apocalyptic number.

It is an amenable number.

106404106505 is a deficient number, since it is larger than the sum of its proper divisors (23098601479).

106404106505 is a wasteful number, since it uses less digits than its factorization.

106404106505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904636.

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 106404106505 in words is "one hundred six billion, four hundred four million, one hundred six thousand, five hundred five".