100135476 has 72 divisors (see below), whose sum is σ = 296039744. Its totient is φ = 27941760.

The previous prime is 100135471. The next prime is 100135493. The reversal of 100135476 is 674531001.

100135476 is a `hidden beast` number, since 100 + 13 + 547 + 6 = 666.

It is a super-2 number, since 2×100135476² = 20054227107493152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100135471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6216 + ... + 15456.

Almost surely, 2^100135476 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 100135476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148019872).

100135476 is an abundant number, since it is smaller than the sum of its proper divisors (195904268).

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

100135476 is a wasteful number, since it uses less digits than its factorization.

100135476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9301 (or 9296 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 100135476 is about 10006.7715073344. The cubic root of 100135476 is about 464.3683967392.

Adding to 100135476 its reverse (674531001), we get a palindrome (774666477).

The spelling of 100135476 in words is "one hundred million, one hundred thirty-five thousand, four hundred seventy-six".