103534889472 has 1080 divisors, whose sum is σ = 392505568884. Its totient is φ = 27088846848.

The previous prime is 103534889467. The next prime is 103534889527. The reversal of 103534889472 is 274988435301.

It is a happy number.

103534889472 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 3 + 488 + 94 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89625989376 + 13908900096 = 299376^2 + 117936^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 2798240238 + ... + 2798240274.

Almost surely, 2^103534889472 is an apocalyptic number.

103534889472 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 103534889472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196252784442).

103534889472 is an abundant number, since it is smaller than the sum of its proper divisors (288970679412).

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

103534889472 is an frugal number, since it uses more digits than its factorization.

103534889472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 103534889472 in words is "one hundred three billion, five hundred thirty-four million, eight hundred eighty-nine thousand, four hundred seventy-two".