106414668 has 48 divisors (see below), whose sum is σ = 290416000. Its totient is φ = 33603984.

The previous prime is 106414667. The next prime is 106414673. The reversal of 106414668 is 866414601.

106414668 is a `hidden beast` number, since 1 + 0 + 641 + 4 + 6 + 6 + 8 = 666.

It is a super-2 number, since 2×106414668² = 22648163131100448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106414663) 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, 23878 + ... + 27981.

Almost surely, 2^106414668 is an apocalyptic number.

106414668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106414668 is an abundant number, since it is smaller than the sum of its proper divisors (184001332).

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

106414668 is a wasteful number, since it uses less digits than its factorization.

106414668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51891 (or 51883 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 106414668 is about 10315.7485428834. The cubic root of 106414668 is about 473.8786742836.

The spelling of 106414668 in words is "one hundred six million, four hundred fourteen thousand, six hundred sixty-eight".