106116100 has 36 divisors (see below), whose sum is σ = 237707008. Its totient is φ = 41076000.

The previous prime is 106116061. The next prime is 106116107. The reversal of 106116100 is 1611601.

It is a super-2 number, since 2×106116100² = 22521253358420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106116107) 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, 14016 + ... + 20215.

Almost surely, 2^106116100 is an apocalyptic number.

106116100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106116100 is an abundant number, since it is smaller than the sum of its proper divisors (131590908).

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

106116100 is a wasteful number, since it uses less digits than its factorization.

106116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34276 (or 34269 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 106116100 is about 10301.2669123754. The cubic root of 106116100 is about 473.4350714765.

Adding to 106116100 its reverse (1611601), we get a palindrome (107727701).

It can be divided in two parts, 1061 and 16100, that added together give a square (17161 = 131²).

The spelling of 106116100 in words is "one hundred six million, one hundred sixteen thousand, one hundred".