127640100 has 216 divisors, whose sum is σ = 453200160. Its totient is φ = 27578880.

The previous prime is 127640099. The next prime is 127640137. The reversal of 127640100 is 1046721.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 279072 + ... + 279528.

Almost surely, 2^127640100 is an apocalyptic number.

127640100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226600080).

127640100 is an abundant number, since it is smaller than the sum of its proper divisors (325560060).

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

127640100 is a wasteful number, since it uses less digits than its factorization.

127640100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 127640100 is about 11297.7918196433. The cubic root of 127640100 is about 503.4956374182.

Adding to 127640100 its reverse (1046721), we get a palindrome (128686821).

The spelling of 127640100 in words is "one hundred twenty-seven million, six hundred forty thousand, one hundred".