106788136 has 64 divisors (see below), whose sum is σ = 251758080. Its totient is φ = 41333760.

The previous prime is 106788133. The next prime is 106788137. The reversal of 106788136 is 631887601.

It is a super-2 number, since 2×106788136² = 22807411980708992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106788131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32656 + ... + 35776.

It is an arithmetic number, because the mean of its divisors is an integer number (3933720).

Almost surely, 2^106788136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106788136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125879040).

106788136 is an abundant number, since it is smaller than the sum of its proper divisors (144969944).

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

106788136 is a wasteful number, since it uses less digits than its factorization.

106788136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 106788136 is about 10333.8345254799. The cubic root of 106788136 is about 474.4323945813.

The spelling of 106788136 in words is "one hundred six million, seven hundred eighty-eight thousand, one hundred thirty-six".