4532100103296 has 192 divisors, whose sum is σ = 13734083188800. Its totient is φ = 1430554245120.

The previous prime is 4532100103273. The next prime is 4532100103397. The reversal of 4532100103296 is 6923010012354.

4532100103296 is a `hidden beast` number, since 4 + 5 + 321 + 0 + 0 + 1 + 0 + 329 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4532100103296² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4532100103296.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50538370 + ... + 50627966.

It is an arithmetic number, because the mean of its divisors is an integer number (71531683275).

Almost surely, 2^{4532100103296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4532100103296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6867041594400).

4532100103296 is an abundant number, since it is smaller than the sum of its proper divisors (9201983085504).

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

4532100103296 is a wasteful number, since it uses less digits than its factorization.

4532100103296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91947 (or 91932 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 4532100103296 in words is "four trillion, five hundred thirty-two billion, one hundred million, one hundred three thousand, two hundred ninety-six".