345132100 has 18 divisors (see below), whose sum is σ = 748936874. Its totient is φ = 138052800.

The previous prime is 345132097. The next prime is 345132107. The reversal of 345132100 is 1231543.

It can be written as a sum of positive squares in 3 ways, for example, as 732736 + 344399364 = 856^2 + 18558^2 .

It is a super-3 number, since 3×345132100³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (345132107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1725561 + ... + 1725760.

Almost surely, 2^345132100 is an apocalyptic number.

It is an amenable number.

345132100 is an abundant number, since it is smaller than the sum of its proper divisors (403804774).

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

345132100 is a wasteful number, since it uses less digits than its factorization.

345132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451335 (or 3451328 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 345132100 is about 18577.7312931370. The cubic root of 345132100 is about 701.4474132361.

Adding to 345132100 its reverse (1231543), we get a palindrome (346363643).

The spelling of 345132100 in words is "three hundred forty-five million, one hundred thirty-two thousand, one hundred".