106788916 has 24 divisors (see below), whose sum is σ = 203258664. Its totient is φ = 48796800.

The previous prime is 106788901. The next prime is 106788923. The reversal of 106788916 is 619887601.

It can be written as a sum of positive squares in 4 ways, for example, as 54081316 + 52707600 = 7354^2 + 7260^2 .

It is a super-2 number, since 2×106788916² = 22807745160910112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4915 + ... + 15418.

It is an arithmetic number, because the mean of its divisors is an integer number (8469111).

Almost surely, 2^106788916 is an apocalyptic number.

It is an amenable number.

106788916 is a deficient number, since it is larger than the sum of its proper divisors (96469748).

106788916 is a wasteful number, since it uses less digits than its factorization.

106788916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20451 (or 20449 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The square root of 106788916 is about 10333.8722655160. The cubic root of 106788916 is about 474.4335496920.

The spelling of 106788916 in words is "one hundred six million, seven hundred eighty-eight thousand, nine hundred sixteen".