103540576896 has 48 divisors (see below), whose sum is σ = 297948798810. Its totient is φ = 34513525248.

The previous prime is 103540576871. The next prime is 103540576933. The reversal of 103540576896 is 698675045301.

103540576896 is a `hidden beast` number, since 1 + 0 + 3 + 540 + 5 + 7 + 6 + 8 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61048526400 + 42492050496 = 247080^2 + 206136^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×103540576896³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44938335 + ... + 44940638.

Almost surely, 2^103540576896 is an apocalyptic number.

103540576896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103540576896 is an abundant number, since it is smaller than the sum of its proper divisors (194408221914).

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

103540576896 is an equidigital number, since it uses as much as digits as its factorization.

103540576896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89878993 (or 89878978 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 103540576896 in words is "one hundred three billion, five hundred forty million, five hundred seventy-six thousand, eight hundred ninety-six".