106166140 has 24 divisors (see below), whose sum is σ = 228135600. Its totient is φ = 41478528.

The previous prime is 106166131. The next prime is 106166141. The reversal of 106166140 is 41661601.

106166140 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106166140² = 22542498564999200, which contains 22 as substring.

106166140 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106166141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60865 + ... + 62584.

It is an arithmetic number, because the mean of its divisors is an integer number (9505650).

Almost surely, 2^106166140 is an apocalyptic number.

106166140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106166140 is an abundant number, since it is smaller than the sum of its proper divisors (121969460).

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

106166140 is a wasteful number, since it uses less digits than its factorization.

106166140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123501 (or 123499 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 106166140 is about 10303.6954535739. The cubic root of 106166140 is about 473.5094773022.

The spelling of 106166140 in words is "one hundred six million, one hundred sixty-six thousand, one hundred forty".