107979648 has 192 divisors, whose sum is σ = 350716800. Its totient is φ = 28827648.

The previous prime is 107979643. The next prime is 107979659. The reversal of 107979648 is 846979701.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 107979648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107979643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 776763 + ... + 776901.

It is an arithmetic number, because the mean of its divisors is an integer number (1826650).

Almost surely, 2^107979648 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 107979648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175358400).

107979648 is an abundant number, since it is smaller than the sum of its proper divisors (242737152).

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

107979648 is a wasteful number, since it uses less digits than its factorization.

107979648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The square root of 107979648 is about 10391.3256132218. The cubic root of 107979648 is about 476.1904000203.

The spelling of 107979648 in words is "one hundred seven million, nine hundred seventy-nine thousand, six hundred forty-eight".