106888890 has 32 divisors (see below), whose sum is σ = 256878720. Its totient is φ = 28465344.

The previous prime is 106888883. The next prime is 106888891. The reversal of 106888890 is 98888601.

It is a super-2 number, since 2×106888890² = 22850469610864200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106888891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25632 + ... + 29508.

It is an arithmetic number, because the mean of its divisors is an integer number (8027460).

Almost surely, 2^106888890 is an apocalyptic number.

106888890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106888890 is an abundant number, since it is smaller than the sum of its proper divisors (149989830).

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

106888890 is a wasteful number, since it uses less digits than its factorization.

106888890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806.

The product of its (nonzero) digits is 221184, while the sum is 48.

The square root of 106888890 is about 10338.7083332494. The cubic root of 106888890 is about 474.5815557704.

The spelling of 106888890 in words is "one hundred six million, eight hundred eighty-eight thousand, eight hundred ninety".