103198881456 has 480 divisors, whose sum is σ = 334264320000. Its totient is φ = 29435788800.

The previous prime is 103198881439. The next prime is 103198881521. The reversal of 103198881456 is 654188891301.

It is a happy number.

103198881456 is a `hidden beast` number, since 1 + 0 + 31 + 9 + 88 + 81 + 456 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 518587245 + ... + 518587443.

It is an arithmetic number, because the mean of its divisors is an integer number (696384000).

Almost surely, 2^103198881456 is an apocalyptic number.

103198881456 is a gapful number since it is divisible by the number (16) 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 103198881456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167132160000).

103198881456 is an abundant number, since it is smaller than the sum of its proper divisors (231065438544).

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

103198881456 is a wasteful number, since it uses less digits than its factorization.

103198881456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 103198881456 in words is "one hundred three billion, one hundred ninety-eight million, eight hundred eighty-one thousand, four hundred fifty-six".