100348633 has 32 divisors (see below), whose sum is σ = 133079040. Its totient is φ = 73301760.

The previous prime is 100348621. The next prime is 100348649. The reversal of 100348633 is 336843001.

It is not a de Polignac number, because 100348633 - 2⁵ = 100348601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100348693) 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 31 ways as a sum of consecutive naturals, for example, 165016 + ... + 165622.

It is an arithmetic number, because the mean of its divisors is an integer number (4158720).

Almost surely, 2^100348633 is an apocalyptic number.

It is an amenable number.

100348633 is a deficient number, since it is larger than the sum of its proper divisors (32730407).

100348633 is a wasteful number, since it uses less digits than its factorization.

100348633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757.

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 100348633 is about 10017.4164833055. The cubic root of 100348633 is about 464.6976614061.

The spelling of 100348633 in words is "one hundred million, three hundred forty-eight thousand, six hundred thirty-three".