106105360 has 40 divisors (see below), whose sum is σ = 247502016. Its totient is φ = 42303360.

The previous prime is 106105357. The next prime is 106105361. The reversal of 106105360 is 63501601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106105360² = 22516694841459200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106105361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24477 + ... + 28483.

Almost surely, 2^106105360 is an apocalyptic number.

106105360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106105360 is an abundant number, since it is smaller than the sum of its proper divisors (141396656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106105360 is a wasteful number, since it uses less digits than its factorization.

106105360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 106105360 is about 10300.7456040813. The cubic root of 106105360 is about 473.4190988321.

Adding to 106105360 its reverse (63501601), we get a palindrome (169606961).

The spelling of 106105360 in words is "one hundred six million, one hundred five thousand, three hundred sixty".