106141888 has 28 divisors (see below), whose sum is σ = 215529160. Its totient is φ = 51835392.

The previous prime is 106141883. The next prime is 106141913. The reversal of 106141888 is 888141601.

It is a super-2 number, since 2×106141888² = 22532200776409088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106141883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16533 + ... + 22036.

It is an arithmetic number, because the mean of its divisors is an integer number (7697470).

Almost surely, 2^106141888 is an apocalyptic number.

It is an amenable number.

106141888 is an abundant number, since it is smaller than the sum of its proper divisors (109387272).

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

106141888 is an equidigital number, since it uses as much as digits as its factorization.

106141888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38624 (or 38614 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 37.

The square root of 106141888 is about 10302.5185270399. The cubic root of 106141888 is about 473.4734192697.

The spelling of 106141888 in words is "one hundred six million, one hundred forty-one thousand, eight hundred eighty-eight".