103553552000 has 64 divisors (see below), whose sum is σ = 257460058440. Its totient is φ = 41421414400.

The previous prime is 103553551999. The next prime is 103553552017. The reversal of 103553552000 is 255355301.

It can be written as a sum of positive squares in 4 ways, for example, as 55858486336 + 47695065664 = 236344^2 + 218392^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×103553552000³ (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 7 ways as a sum of consecutive naturals, for example, 3220049 + ... + 3252048.

Almost surely, 2^103553552000 is an apocalyptic number.

103553552000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103553552000 is an abundant number, since it is smaller than the sum of its proper divisors (153906506440).

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

103553552000 is an frugal number, since it uses more digits than its factorization.

103553552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6472126 (or 6472104 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 29.

The spelling of 103553552000 in words is "one hundred three billion, five hundred fifty-three million, five hundred fifty-two thousand".