355681032100 has 81 divisors (see below), whose sum is σ = 807155886243. Its totient is φ = 136034173440.

The previous prime is 355681031963. The next prime is 355681032103. The reversal of 355681032100 is 1230186553.

The square root of 355681032100 is 596390.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 493639524 + 355187392576 = 22218^2 + 595976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (355681032103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 137168404 + ... + 137170996.

Almost surely, 2^355681032100 is an apocalyptic number.

355681032100 is the 596390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355681032100

355681032100 is an abundant number, since it is smaller than the sum of its proper divisors (451474854143).

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

355681032100 is an equidigital number, since it uses as much as digits as its factorization.

355681032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 355681032100 in words is "three hundred fifty-five billion, six hundred eighty-one million, thirty-two thousand, one hundred".