100513010 has 32 divisors (see below), whose sum is σ = 206306352. Its totient is φ = 34928640.

The previous prime is 100513009. The next prime is 100513019. The reversal of 100513010 is 10315001.

It can be written as a sum of positive squares in 8 ways, for example, as 11002489 + 89510521 = 3317^2 + 9461^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100512982 and 100513000.

It is not an unprimeable number, because it can be changed into a prime (100513019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20531 + ... + 24950.

Almost surely, 2^100513010 is an apocalyptic number.

100513010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100513010 is an abundant number, since it is smaller than the sum of its proper divisors (105793342).

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

100513010 is a wasteful number, since it uses less digits than its factorization.

100513010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45518.

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 100513010 is about 10025.6176867064. The cubic root of 100513010 is about 464.9512570791.

Adding to 100513010 its reverse (10315001), we get a palindrome (110828011).

The spelling of 100513010 in words is "one hundred million, five hundred thirteen thousand, ten".