106105690 has 32 divisors (see below), whose sum is σ = 203616000. Its totient is φ = 39693888.

The previous prime is 106105679. The next prime is 106105697. The reversal of 106105690 is 96501601.

It is a super-2 number, since 2×106105690² = 22516834900752200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106105697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11476 + ... + 18544.

It is an arithmetic number, because the mean of its divisors is an integer number (6363000).

Almost surely, 2^106105690 is an apocalyptic number.

106105690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106105690 is a deficient number, since it is larger than the sum of its proper divisors (97510310).

106105690 is a wasteful number, since it uses less digits than its factorization.

106105690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7174.

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 106105690 is about 10300.7616223268. The cubic root of 106105690 is about 473.4195896277.

The spelling of 106105690 in words is "one hundred six million, one hundred five thousand, six hundred ninety".