107864141 has 24 divisors (see below), whose sum is σ = 137549664. Its totient is φ = 83640480.

The previous prime is 107864101. The next prime is 107864149. The reversal of 107864141 is 141468701.

It is not a de Polignac number, because 107864141 - 2¹⁰ = 107863117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 107864098 and 107864107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107864149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157586 + ... + 158268.

It is an arithmetic number, because the mean of its divisors is an integer number (5731236).

Almost surely, 2^107864141 is an apocalyptic number.

107864141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107864141 is a deficient number, since it is larger than the sum of its proper divisors (29685523).

107864141 is a wasteful number, since it uses less digits than its factorization.

107864141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 107864141 is about 10385.7662692745. The cubic root of 107864141 is about 476.0205440960.

The spelling of 107864141 in words is "one hundred seven million, eight hundred sixty-four thousand, one hundred forty-one".