106106505 has 32 divisors (see below), whose sum is σ = 176376960. Its totient is φ = 54405120.

The previous prime is 106106501. The next prime is 106106531. The reversal of 106106505 is 505601601.

It is not a de Polignac number, because 106106505 - 2² = 106106501 is a prime.

It is a super-2 number, since 2×106106505² = 22517180806630050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106106501) 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, 153210 + ... + 153900.

It is an arithmetic number, because the mean of its divisors is an integer number (5511780).

Almost surely, 2^106106505 is an apocalyptic number.

106106505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106106505 is a deficient number, since it is larger than the sum of its proper divisors (70270455).

106106505 is a wasteful number, since it uses less digits than its factorization.

106106505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 106106505 is about 10300.8011824324. The cubic root of 106106505 is about 473.4208017398.

The spelling of 106106505 in words is "one hundred six million, one hundred six thousand, five hundred five".