100557303 has 32 divisors (see below), whose sum is σ = 168486912. Its totient is φ = 51823200.

The previous prime is 100557277. The next prime is 100557313. The reversal of 100557303 is 303755001.

It is not a de Polignac number, because 100557303 - 2⁸ = 100557047 is a prime.

It is a super-2 number, since 2×100557303² = 20223542373267618, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100557313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28600 + ... + 31922.

It is an arithmetic number, because the mean of its divisors is an integer number (5265216).

Almost surely, 2^100557303 is an apocalyptic number.

100557303 is a deficient number, since it is larger than the sum of its proper divisors (67929609).

100557303 is a wasteful number, since it uses less digits than its factorization.

100557303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475.

The product of its (nonzero) digits is 1575, while the sum is 24.

The square root of 100557303 is about 10027.8264344772. The cubic root of 100557303 is about 465.0195436346.

The spelling of 100557303 in words is "one hundred million, five hundred fifty-seven thousand, three hundred three".