100353960 has 144 divisors (see below), whose sum is σ = 379466100. Its totient is φ = 22934016.

The previous prime is 100353923. The next prime is 100353971. The reversal of 100353960 is 69353001.

It can be written as a sum of positive squares in 2 ways, for example, as 95765796 + 4588164 = 9786^2 + 2142^2 .

It is a super-3 number, since 3×100353960³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14796 + ... + 20484.

Almost surely, 2^100353960 is an apocalyptic number.

100353960 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 100353960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189733050).

100353960 is an abundant number, since it is smaller than the sum of its proper divisors (279112140).

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

100353960 is a wasteful number, since it uses less digits than its factorization.

100353960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5720 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 100353960 is about 10017.6823666954. The cubic root of 100353960 is about 464.7058840746.

The spelling of 100353960 in words is "one hundred million, three hundred fifty-three thousand, nine hundred sixty".