127105470 has 128 divisors (see below), whose sum is σ = 352512000. Its totient is φ = 32572800.

The previous prime is 127105469. The next prime is 127105477. The reversal of 127105470 is 74501721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127105477) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1258420 + ... + 1258520.

It is an arithmetic number, because the mean of its divisors is an integer number (2754000).

Almost surely, 2^127105470 is an apocalyptic number.

127105470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127105470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176256000).

127105470 is an abundant number, since it is smaller than the sum of its proper divisors (225406530).

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

127105470 is a wasteful number, since it uses less digits than its factorization.

127105470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 127105470 is about 11274.1061729966. The cubic root of 127105470 is about 502.7916773988.

The spelling of 127105470 in words is "one hundred twenty-seven million, one hundred five thousand, four hundred seventy".