127956444100 has 27 divisors (see below), whose sum is σ = 277673246221. Its totient is φ = 51181146800.

The previous prime is 127956444061. The next prime is 127956444107. The reversal of 127956444100 is 1444659721.

The square root of 127956444100 is 357710.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46064319876 + 81892124224 = 214626^2 + 286168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127956444107) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 3559215 + ... + 3594985.

Almost surely, 2^127956444100 is an apocalyptic number.

127956444100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127956444100 is the 357710-th square number.

It is an amenable number.

127956444100 is an abundant number, since it is smaller than the sum of its proper divisors (149716802121).

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

127956444100 is an frugal number, since it uses more digits than its factorization.

127956444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71556 (or 35778 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 127956444100 in words is "one hundred twenty-seven billion, nine hundred fifty-six million, four hundred forty-four thousand, one hundred".