100353100 has 72 divisors (see below), whose sum is σ = 225454320. Its totient is φ = 38753280.

The previous prime is 100353089. The next prime is 100353109. The reversal of 100353100 is 1353001.

It is a super-2 number, since 2×100353100² = 20141489359220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100353109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430584 + ... + 430816.

It is an arithmetic number, because the mean of its divisors is an integer number (3131310).

Almost surely, 2^100353100 is an apocalyptic number.

100353100 is a gapful number since it is divisible by the number (10) 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 100353100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112727160).

100353100 is an abundant number, since it is smaller than the sum of its proper divisors (125101220).

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

100353100 is a wasteful number, since it uses less digits than its factorization.

100353100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 100353100 is about 10017.6394425034. The cubic root of 100353100 is about 464.7045566126.

Subtracting from 100353100 its reverse (1353001), we obtain a palindrome (99000099).

The spelling of 100353100 in words is "one hundred million, three hundred fifty-three thousand, one hundred".