106401114 has 40 divisors (see below), whose sum is σ = 246119808. Its totient is φ = 34321320.

The previous prime is 106401107. The next prime is 106401149. The reversal of 106401114 is 411104601.

106401114 is a `hidden beast` number, since 1 + 0 + 640 + 11 + 14 = 666.

It is a super-3 number, since 3×106401114³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5572 + ... + 15615.

Almost surely, 2^106401114 is an apocalyptic number.

106401114 is an abundant number, since it is smaller than the sum of its proper divisors (139718694).

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

106401114 is a wasteful number, since it uses less digits than its factorization.

106401114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21232 (or 21223 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 106401114 is about 10315.0915652746. The cubic root of 106401114 is about 473.8585541743.

Adding to 106401114 its reverse (411104601), we get a palindrome (517505715).

The spelling of 106401114 in words is "one hundred six million, four hundred one thousand, one hundred fourteen".