107829211 has 16 divisors (see below), whose sum is σ = 127125504. Its totient is φ = 89528544.

The previous prime is 107829173. The next prime is 107829217. The reversal of 107829211 is 112928701.

107829211 = T₁₃₃₈ + T₁₃₃₉ + ... + T₁₄₄₈.

It is not a de Polignac number, because 107829211 - 2¹¹ = 107827163 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107829217) 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, 67326 + ... + 68908.

It is an arithmetic number, because the mean of its divisors is an integer number (7945344).

Almost surely, 2^107829211 is an apocalyptic number.

107829211 is a deficient number, since it is larger than the sum of its proper divisors (19296293).

107829211 is a wasteful number, since it uses less digits than its factorization.

107829211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890.

The product of its (nonzero) digits is 2016, while the sum is 31.

The square root of 107829211 is about 10384.0845046639. The cubic root of 107829211 is about 475.9691547816.

The spelling of 107829211 in words is "one hundred seven million, eight hundred twenty-nine thousand, two hundred eleven".