10045100 has 36 divisors (see below), whose sum is σ = 23477664. Its totient is φ = 3708480.

The previous prime is 10045097. The next prime is 10045103. The reversal of 10045100 is 154001.

It is an interprime number because it is at equal distance from previous prime (10045097) and next prime (10045103).

It is a super-3 number, since 3×10045100³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10045103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2564 + ... + 5163.

Almost surely, 2^10045100 is an apocalyptic number.

10045100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10045100 is an abundant number, since it is smaller than the sum of its proper divisors (13432564).

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

10045100 is a wasteful number, since it uses less digits than its factorization.

10045100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7754 (or 7747 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 10045100 is about 3169.4005742411. The cubic root of 10045100 is about 215.7668666633.

Adding to 10045100 its reverse (154001), we get a palindrome (10199101).

The spelling of 10045100 in words is "ten million, forty-five thousand, one hundred".