103536481776 has 480 divisors, whose sum is σ = 341578137600. Its totient is φ = 26998852608.

The previous prime is 103536481771. The next prime is 103536481799. The reversal of 103536481776 is 677184635301.

It is a super-2 number, since 2×103536481776² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103536481771) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 353366686 + ... + 353366978.

It is an arithmetic number, because the mean of its divisors is an integer number (711621120).

Almost surely, 2^103536481776 is an apocalyptic number.

103536481776 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 103536481776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170789068800).

103536481776 is an abundant number, since it is smaller than the sum of its proper divisors (238041655824).

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

103536481776 is a wasteful number, since it uses less digits than its factorization.

103536481776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 103536481776 in words is "one hundred three billion, five hundred thirty-six million, four hundred eighty-one thousand, seven hundred seventy-six".