107439948 has 180 divisors, whose sum is σ = 348690888. Its totient is φ = 27659520.

The previous prime is 107439947. The next prime is 107439977. The reversal of 107439948 is 849934701.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (107439947) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 950740 + ... + 950852.

Almost surely, 2^107439948 is an apocalyptic number.

107439948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107439948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174345444).

107439948 is an abundant number, since it is smaller than the sum of its proper divisors (241250940).

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

107439948 is a wasteful number, since it uses less digits than its factorization.

107439948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 107439948 is about 10365.3243075169. The cubic root of 107439948 is about 475.3957153040.

The spelling of 107439948 in words is "one hundred seven million, four hundred thirty-nine thousand, nine hundred forty-eight".