107829096 has 64 divisors (see below), whose sum is σ = 287815680. Its totient is φ = 33546240.

The previous prime is 107829089. The next prime is 107829097. The reversal of 107829096 is 690928701.

It is a super-2 number, since 2×107829096² = 23254227888354432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107829097) 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, 50776 + ... + 52856.

It is an arithmetic number, because the mean of its divisors is an integer number (4497120).

Almost surely, 2^107829096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107829096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143907840).

107829096 is an abundant number, since it is smaller than the sum of its proper divisors (179986584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107829096 is a wasteful number, since it uses less digits than its factorization.

107829096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 107829096 is about 10384.0789673423. The cubic root of 107829096 is about 475.9689855743.

The spelling of 107829096 in words is "one hundred seven million, eight hundred twenty-nine thousand, ninety-six".