103218100 has 36 divisors (see below), whose sum is σ = 227668588. Its totient is φ = 40608000.

The previous prime is 103218097. The next prime is 103218109. The reversal of 103218100 is 1812301.

It can be written as a sum of positive squares in 6 ways, for example, as 10942864 + 92275236 = 3308^2 + 9606^2 .

It is a super-2 number, since 2×103218100² = 21307952335220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103218109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2361 + ... + 14560.

Almost surely, 2^103218100 is an apocalyptic number.

103218100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103218100 is an abundant number, since it is smaller than the sum of its proper divisors (124450488).

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

103218100 is a wasteful number, since it uses less digits than its factorization.

103218100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16996 (or 16989 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 103218100 is about 10159.6308988073. The cubic root of 103218100 is about 469.0854404920.

The spelling of 103218100 in words is "one hundred three million, two hundred eighteen thousand, one hundred".