39105096 has 64 divisors (see below), whose sum is σ = 101243520. Its totient is φ = 12579840.

The previous prime is 39105071. The next prime is 39105127. The reversal of 39105096 is 69050193.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90096 + ... + 90528.

It is an arithmetic number, because the mean of its divisors is an integer number (1581930).

Almost surely, 2^39105096 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 39105096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50621760).

39105096 is an abundant number, since it is smaller than the sum of its proper divisors (62138424).

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

39105096 is a wasteful number, since it uses less digits than its factorization.

39105096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 39105096 is about 6253.4067515235. The cubic root of 39105096 is about 339.4254888272.

The spelling of 39105096 in words is "thirty-nine million, one hundred five thousand, ninety-six".