100205332 has 12 divisors (see below), whose sum is σ = 177096276. Its totient is φ = 49606400.

The previous prime is 100205323. The next prime is 100205341. The reversal of 100205332 is 233502001.

It is an interprime number because it is at equal distance from previous prime (100205323) and next prime (100205341).

It can be written as a sum of positive squares in 2 ways, for example, as 97535376 + 2669956 = 9876^2 + 1634^2 .

It is a super-2 number, since 2×100205332² = 20082217122460448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123613 + ... + 124420.

It is an arithmetic number, because the mean of its divisors is an integer number (14758023).

Almost surely, 2^100205332 is an apocalyptic number.

It is an amenable number.

100205332 is a deficient number, since it is larger than the sum of its proper divisors (76890944).

100205332 is a wasteful number, since it uses less digits than its factorization.

100205332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248138 (or 248136 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 100205332 is about 10010.2613352499. The cubic root of 100205332 is about 464.4763550761.

Adding to 100205332 its reverse (233502001), we get a palindrome (333707333).

The spelling of 100205332 in words is "one hundred million, two hundred five thousand, three hundred thirty-two".