106166788 has 48 divisors (see below), whose sum is σ = 229743360. Its totient is φ = 41802624.

The previous prime is 106166773. The next prime is 106166803. The reversal of 106166788 is 887661601.

It is an interprime number because it is at equal distance from previous prime (106166773) and next prime (106166803).

It is a super-2 number, since 2×106166788² = 22542773748473888, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95178 + ... + 96286.

It is an arithmetic number, because the mean of its divisors is an integer number (4786320).

Almost surely, 2^106166788 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 106166788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114871680).

106166788 is an abundant number, since it is smaller than the sum of its proper divisors (123576572).

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

106166788 is a wasteful number, since it uses less digits than its factorization.

106166788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 106166788 is about 10303.7268985547. The cubic root of 106166788 is about 473.5104406775.

The spelling of 106166788 in words is "one hundred six million, one hundred sixty-six thousand, seven hundred eighty-eight".