107540829 has 48 divisors (see below), whose sum is σ = 177874944. Its totient is φ = 62013600.

The previous prime is 107540821. The next prime is 107540837. The reversal of 107540829 is 928045701.

107540829 is a `hidden beast` number, since 107 + 540 + 8 + 2 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (107540821) and next prime (107540837).

It is not a de Polignac number, because 107540829 - 2³ = 107540821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 107540793 and 107540802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107540821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205362 + ... + 205884.

It is an arithmetic number, because the mean of its divisors is an integer number (3705728).

Almost surely, 2^107540829 is an apocalyptic number.

It is an amenable number.

107540829 is a deficient number, since it is larger than the sum of its proper divisors (70334115).

107540829 is a wasteful number, since it uses less digits than its factorization.

107540829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 107540829 is about 10370.1894389640. The cubic root of 107540829 is about 475.5444600793.

The spelling of 107540829 in words is "one hundred seven million, five hundred forty thousand, eight hundred twenty-nine".