107948319 has 8 divisors (see below), whose sum is σ = 144077232. Its totient is φ = 71892480.

The previous prime is 107948311. The next prime is 107948359. The reversal of 107948319 is 913849701.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 107948319 - 2³ = 107948311 is a prime.

It is a super-3 number, since 3×107948319³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107948311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14722 + ... + 20799.

It is an arithmetic number, because the mean of its divisors is an integer number (18009654).

Almost surely, 2^107948319 is an apocalyptic number.

107948319 is a deficient number, since it is larger than the sum of its proper divisors (36128913).

107948319 is a wasteful number, since it uses less digits than its factorization.

107948319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36537.

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

The square root of 107948319 is about 10389.8180446050. The cubic root of 107948319 is about 476.1443419209.

The spelling of 107948319 in words is "one hundred seven million, nine hundred forty-eight thousand, three hundred nineteen".