106929945 has 24 divisors (see below), whose sum is σ = 185889600. Its totient is φ = 56861856.

The previous prime is 106929941. The next prime is 106929959. The reversal of 106929945 is 549929601.

It is not a de Polignac number, because 106929945 - 2² = 106929941 is a prime.

It is a super-2 number, since 2×106929945² = 22868026275406050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 106929945.

It is not an unprimeable number, because it can be changed into a prime (106929941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12846 + ... + 19464.

It is an arithmetic number, because the mean of its divisors is an integer number (7745400).

Almost surely, 2^106929945 is an apocalyptic number.

106929945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106929945 is a deficient number, since it is larger than the sum of its proper divisors (78959655).

106929945 is a wasteful number, since it uses less digits than its factorization.

106929945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6989 (or 6986 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 106929945 is about 10340.6936421112. The cubic root of 106929945 is about 474.6423087379.

The spelling of 106929945 in words is "one hundred six million, nine hundred twenty-nine thousand, nine hundred forty-five".