107141856 has 96 divisors (see below), whose sum is σ = 291610368. Its totient is φ = 34421760.

The previous prime is 107141833. The next prime is 107141857. The reversal of 107141856 is 658141701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×107141856² = 22958754614249472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107141857) by changing a digit.

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, 641485 + ... + 641651.

It is an arithmetic number, because the mean of its divisors is an integer number (3037608).

Almost surely, 2^107141856 is an apocalyptic number.

107141856 is a gapful number since it is divisible by the number (16) 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 107141856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145805184).

107141856 is an abundant number, since it is smaller than the sum of its proper divisors (184468512).

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

107141856 is a wasteful number, since it uses less digits than its factorization.

107141856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 107141856 is about 10350.9350302279. The cubic root of 107141856 is about 474.9556464588.

The spelling of 107141856 in words is "one hundred seven million, one hundred forty-one thousand, eight hundred fifty-six".