145056112100 has 36 divisors (see below), whose sum is σ = 325625968500. Its totient is φ = 56021669760.

The previous prime is 145056112049. The next prime is 145056112127. The reversal of 145056112100 is 1211650541.

It can be written as a sum of positive squares in 6 ways, for example, as 2651014144 + 142405097956 = 51488^2 + 377366^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 145056112100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25006775 + ... + 25012574.

Almost surely, 2^145056112100 is an apocalyptic number.

145056112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145056112100 is an abundant number, since it is smaller than the sum of its proper divisors (180569856400).

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

145056112100 is a wasteful number, since it uses less digits than its factorization.

145056112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50019392 (or 50019385 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 145056112100 its reverse (1211650541), we get a palindrome (146267762641).

The spelling of 145056112100 in words is "one hundred forty-five billion, fifty-six million, one hundred twelve thousand, one hundred".