103892949440 has 224 divisors, whose sum is σ = 286746476544. Its totient is φ = 35119042560.

The previous prime is 103892949431. The next prime is 103892949443. The reversal of 103892949440 is 44949298301.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103892949443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49213985 + ... + 49216095.

Almost surely, 2^103892949440 is an apocalyptic number.

103892949440 is a gapful number since it is divisible by the number (10) 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 103892949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143373238272).

103892949440 is an abundant number, since it is smaller than the sum of its proper divisors (182853527104).

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

103892949440 is a wasteful number, since it uses less digits than its factorization.

103892949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 53.

The spelling of 103892949440 in words is "one hundred three billion, eight hundred ninety-two million, nine hundred forty-nine thousand, four hundred forty".