106540100 has 36 divisors (see below), whose sum is σ = 231901824. Its totient is φ = 42485280.

The previous prime is 106540081. The next prime is 106540103. The reversal of 106540100 is 1045601.

It is a happy number.

It is a super-2 number, since 2×106540100² = 22701585816020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106540103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35249 + ... + 38151.

Almost surely, 2^106540100 is an apocalyptic number.

106540100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106540100 is an abundant number, since it is smaller than the sum of its proper divisors (125361724).

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

106540100 is a wasteful number, since it uses less digits than its factorization.

106540100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 106540100 is about 10321.8263887744. The cubic root of 106540100 is about 474.0647896387.

Adding to 106540100 its reverse (1045601), we get a palindrome (107585701).

The spelling of 106540100 in words is "one hundred six million, five hundred forty thousand, one hundred".