103948992 has 252 divisors, whose sum is σ = 361370880. Its totient is φ = 28449792.

The previous prime is 103948991. The next prime is 103949003. The reversal of 103948992 is 299849301.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (103948991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 818433 + ... + 818559.

Almost surely, 2^103948992 is an apocalyptic number.

103948992 is a gapful number since it is divisible by the number (12) 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 103948992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180685440).

103948992 is an abundant number, since it is smaller than the sum of its proper divisors (257421888).

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

103948992 is a wasteful number, since it uses less digits than its factorization.

103948992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 103948992 is about 10195.5378475096. The cubic root of 103948992 is about 470.1900423562.

The spelling of 103948992 in words is "one hundred three million, nine hundred forty-eight thousand, nine hundred ninety-two".