106142160 has 80 divisors (see below), whose sum is σ = 333728640. Its totient is φ = 27901440.

The previous prime is 106142149. The next prime is 106142173. The reversal of 106142160 is 61241601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106142160² = 22532316258931200, which contains 22 as substring.

It is a congruent number.

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, 13926 + ... + 20154.

It is an arithmetic number, because the mean of its divisors is an integer number (4171608).

Almost surely, 2^106142160 is an apocalyptic number.

106142160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106142160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166864320).

106142160 is an abundant number, since it is smaller than the sum of its proper divisors (227586480).

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

106142160 is a wasteful number, since it uses less digits than its factorization.

106142160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6316 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 106142160 is about 10302.5317276871. The cubic root of 106142160 is about 473.4738237115.

Adding to 106142160 its reverse (61241601), we get a palindrome (167383761).

The spelling of 106142160 in words is "one hundred six million, one hundred forty-two thousand, one hundred sixty".