106011010505 has 32 divisors (see below), whose sum is σ = 131113382400. Its totient is φ = 82243848960.

The previous prime is 106011010459. The next prime is 106011010531. The reversal of 106011010505 is 505010110601.

It is not a de Polignac number, because 106011010505 - 2²⁰ = 106009961929 is a prime.

It is a super-2 number, since 2×106011010505² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23301971 + ... + 23306519.

It is an arithmetic number, because the mean of its divisors is an integer number (4097293200).

Almost surely, 2^106011010505 is an apocalyptic number.

It is an amenable number.

106011010505 is a deficient number, since it is larger than the sum of its proper divisors (25102371895).

106011010505 is a wasteful number, since it uses less digits than its factorization.

106011010505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5489.

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 106011010505 in words is "one hundred six billion, eleven million, ten thousand, five hundred five".