145305612100 has 36 divisors (see below), whose sum is σ = 343978015248. Its totient is φ = 52838404000.

The previous prime is 145305612059. The next prime is 145305612113. The reversal of 145305612100 is 1216503541.

145305612100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145305612100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66046906 + ... + 66049105.

It is an arithmetic number, because the mean of its divisors is an integer number (9554944868).

Almost surely, 2^145305612100 is an apocalyptic number.

145305612100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145305612100 is an abundant number, since it is smaller than the sum of its proper divisors (198672403148).

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

145305612100 is a wasteful number, since it uses less digits than its factorization.

145305612100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132096036 (or 132096029 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 145305612100 in words is "one hundred forty-five billion, three hundred five million, six hundred twelve thousand, one hundred".