103435449552 has 160 divisors (see below), whose sum is σ = 302688960000. Its totient is φ = 33811914240.

The previous prime is 103435449541. The next prime is 103435449581. The reversal of 103435449552 is 255944534301.

103435449552 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 3 + 54 + 49 + 552 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 103435449498 and 103435449507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5074902 + ... + 5095242.

It is an arithmetic number, because the mean of its divisors is an integer number (1891806000).

Almost surely, 2^103435449552 is an apocalyptic number.

103435449552 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 103435449552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151344480000).

103435449552 is an abundant number, since it is smaller than the sum of its proper divisors (199253510448).

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

103435449552 is a wasteful number, since it uses less digits than its factorization.

103435449552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20586 (or 20574 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 103435449552 in words is "one hundred three billion, four hundred thirty-five million, four hundred forty-nine thousand, five hundred fifty-two".