100135756 has 24 divisors (see below), whose sum is σ = 204535296. Its totient is φ = 42001680.

The previous prime is 100135667. The next prime is 100135771. The reversal of 100135756 is 657531001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36730 + ... + 39361.

It is an arithmetic number, because the mean of its divisors is an integer number (8522304).

Almost surely, 2^100135756 is an apocalyptic number.

It is an amenable number.

100135756 is an abundant number, since it is smaller than the sum of its proper divisors (104399540).

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

100135756 is a wasteful number, since it uses less digits than its factorization.

100135756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76149 (or 76147 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 100135756 is about 10006.7854978509. The cubic root of 100135756 is about 464.3688295630.

Adding to 100135756 its reverse (657531001), we get a palindrome (757666757).

The spelling of 100135756 in words is "one hundred million, one hundred thirty-five thousand, seven hundred fifty-six".