107349648 has 160 divisors (see below), whose sum is σ = 342835200. Its totient is φ = 28267008.

The previous prime is 107349647. The next prime is 107349673. The reversal of 107349648 is 846943701.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (107349647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223873 + ... + 224351.

It is an arithmetic number, because the mean of its divisors is an integer number (2142720).

Almost surely, 2^107349648 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 107349648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171417600).

107349648 is an abundant number, since it is smaller than the sum of its proper divisors (235485552).

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

107349648 is a wasteful number, since it uses less digits than its factorization.

107349648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 107349648 is about 10360.9675223890. The cubic root of 107349648 is about 475.2624927733.

It can be divided in two parts, 1073 and 49648, that added together give a triangular number (50721 = T₃₁₈).

The spelling of 107349648 in words is "one hundred seven million, three hundred forty-nine thousand, six hundred forty-eight".