106678635 has 48 divisors (see below), whose sum is σ = 209030400. Its totient is φ = 46194624.

The previous prime is 106678609. The next prime is 106678639. The reversal of 106678635 is 536876601.

It is not a de Polignac number, because 106678635 - 2⁹ = 106678123 is a prime.

It is a super-2 number, since 2×106678635² = 22760662330926450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106678639) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10146 + ... + 17784.

It is an arithmetic number, because the mean of its divisors is an integer number (4354800).

Almost surely, 2^106678635 is an apocalyptic number.

106678635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106678635 is a deficient number, since it is larger than the sum of its proper divisors (102351765).

106678635 is a wasteful number, since it uses less digits than its factorization.

106678635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7680 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 106678635 is about 10328.5349880804. The cubic root of 106678635 is about 474.2701774706.

The spelling of 106678635 in words is "one hundred six million, six hundred seventy-eight thousand, six hundred thirty-five".