353890100100 has 288 divisors, whose sum is σ = 1108436555520. Its totient is φ = 86977013760.

The previous prime is 353890100099. The next prime is 353890100191. The reversal of 353890100100 is 1001098353.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17050329 + ... + 17071071.

It is an arithmetic number, because the mean of its divisors is an integer number (3848738040).

Almost surely, 2^353890100100 is an apocalyptic number.

353890100100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353890100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554218277760).

353890100100 is an abundant number, since it is smaller than the sum of its proper divisors (754546455420).

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

353890100100 is a wasteful number, since it uses less digits than its factorization.

353890100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20879 (or 20872 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

Adding to 353890100100 its reverse (1001098353), we get a palindrome (354891198453).

The spelling of 353890100100 in words is "three hundred fifty-three billion, eight hundred ninety million, one hundred thousand, one hundred".