100401280 has 128 divisors (see below), whose sum is σ = 278974080. Its totient is φ = 33841152.

The previous prime is 100401241. The next prime is 100401299. The reversal of 100401280 is 82104001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326887 + ... + 327193.

It is an arithmetic number, because the mean of its divisors is an integer number (2179485).

Almost surely, 2^100401280 is an apocalyptic number.

100401280 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 100401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139487040).

100401280 is an abundant number, since it is smaller than the sum of its proper divisors (178572800).

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

100401280 is an equidigital number, since it uses as much as digits as its factorization.

100401280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 100401280 is about 10020.0439120794. The cubic root of 100401280 is about 464.7789136692.

Adding to 100401280 its reverse (82104001), we get a palindrome (182505281).

The spelling of 100401280 in words is "one hundred million, four hundred one thousand, two hundred eighty".