107063829 has 16 divisors (see below), whose sum is σ = 162901440. Its totient is φ = 69446160.

The previous prime is 107063821. The next prime is 107063837. The reversal of 107063829 is 928360701.

107063829 is a `hidden beast` number, since 10 + 7 + 0 + 638 + 2 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (107063821) and next prime (107063837).

It is not a de Polignac number, because 107063829 - 2³ = 107063821 is a prime.

It is a super-2 number, since 2×107063829² = 22925326960282482, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 107063793 and 107063802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107063821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52587 + ... + 54584.

It is an arithmetic number, because the mean of its divisors is an integer number (10181340).

Almost surely, 2^107063829 is an apocalyptic number.

It is an amenable number.

107063829 is a deficient number, since it is larger than the sum of its proper divisors (55837611).

107063829 is a wasteful number, since it uses less digits than its factorization.

107063829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107217 (or 107211 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 107063829 is about 10347.1652639745. The cubic root of 107063829 is about 474.8403215816.

It can be divided in two parts, 10706 and 3829, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 107063829 in words is "one hundred seven million, sixty-three thousand, eight hundred twenty-nine".