107032829 has 2 divisors, whose sum is σ = 107032830. Its totient is φ = 107032828.

The previous prime is 107032813. The next prime is 107032843. The reversal of 107032829 is 928230701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105616729 + 1416100 = 10277^2 + 1190^2 .

It is a cyclic number.

It is not a de Polignac number, because 107032829 - 2⁴ = 107032813 is a prime.

It is a super-2 number, since 2×107032829² = 22912052967486482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107032795 and 107032804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107032889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53516414 + 53516415.

It is an arithmetic number, because the mean of its divisors is an integer number (53516415).

Almost surely, 2^107032829 is an apocalyptic number.

It is an amenable number.

107032829 is a deficient number, since it is larger than the sum of its proper divisors (1).

107032829 is an equidigital number, since it uses as much as digits as its factorization.

107032829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 107032829 is about 10345.6671607007. The cubic root of 107032829 is about 474.7944876430.

The spelling of 107032829 in words is "one hundred seven million, thirty-two thousand, eight hundred twenty-nine".