106908945 has 96 divisors (see below), whose sum is σ = 212357376. Its totient is φ = 45534720.

The previous prime is 106908941. The next prime is 106908959. The reversal of 106908945 is 549809601.

It is not a de Polignac number, because 106908945 - 2² = 106908941 is a prime.

It is a super-2 number, since 2×106908945² = 22859045042026050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106908897 and 106908906.

It is not an unprimeable number, because it can be changed into a prime (106908941) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 542587 + ... + 542783.

It is an arithmetic number, because the mean of its divisors is an integer number (2212056).

Almost surely, 2^106908945 is an apocalyptic number.

106908945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106908945 is a deficient number, since it is larger than the sum of its proper divisors (105448431).

106908945 is a wasteful number, since it uses less digits than its factorization.

106908945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 106908945 is about 10339.6781864814. The cubic root of 106908945 is about 474.6112349943.

The spelling of 106908945 in words is "one hundred six million, nine hundred eight thousand, nine hundred forty-five".