352106052100 has 144 divisors (see below), whose sum is σ = 844154720640. Its totient is φ = 126413107200.

The previous prime is 352106052097. The next prime is 352106052113. The reversal of 352106052100 is 1250601253.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46837542 + ... + 46845058.

It is an arithmetic number, because the mean of its divisors is an integer number (5862185560).

Almost surely, 2^352106052100 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 352106052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422077360320).

352106052100 is an abundant number, since it is smaller than the sum of its proper divisors (492048668540).

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

352106052100 is a wasteful number, since it uses less digits than its factorization.

352106052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8078 (or 8071 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 352106052100 its reverse (1250601253), we get a palindrome (353356653353).

The spelling of 352106052100 in words is "three hundred fifty-two billion, one hundred six million, fifty-two thousand, one hundred".