100648353 has 16 divisors (see below), whose sum is σ = 146893376. Its totient is φ = 60920640.

The previous prime is 100648349. The next prime is 100648367. The reversal of 100648353 is 353846001.

It is not a de Polignac number, because 100648353 - 2² = 100648349 is a prime.

It is a super-2 number, since 2×100648353² = 20260181923225218, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100648353.

It is not an unprimeable number, because it can be changed into a prime (100648553) 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 15 ways as a sum of consecutive naturals, for example, 18775 + ... + 23532.

It is an arithmetic number, because the mean of its divisors is an integer number (9180836).

Almost surely, 2^100648353 is an apocalyptic number.

100648353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100648353 is a deficient number, since it is larger than the sum of its proper divisors (46245023).

100648353 is a wasteful number, since it uses less digits than its factorization.

100648353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42384.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 100648353 is about 10032.3652744505. The cubic root of 100648353 is about 465.1598525451.

The spelling of 100648353 in words is "one hundred million, six hundred forty-eight thousand, three hundred fifty-three".