103527156480 has 576 divisors, whose sum is σ = 369994480128. Its totient is φ = 24460001280.

The previous prime is 103527156457. The next prime is 103527156497. The reversal of 103527156480 is 84651725301.

It is a happy number.

It is a super-3 number, since 3×103527156480³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444322444 + ... + 444322676.

It is an arithmetic number, because the mean of its divisors is an integer number (642351528).

Almost surely, 2^103527156480 is an apocalyptic number.

103527156480 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 103527156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184997240064).

103527156480 is an abundant number, since it is smaller than the sum of its proper divisors (266467323648).

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

103527156480 is a wasteful number, since it uses less digits than its factorization.

103527156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 103527156480 in words is "one hundred three billion, five hundred twenty-seven million, one hundred fifty-six thousand, four hundred eighty".