100980405 has 16 divisors (see below), whose sum is σ = 179520960. Its totient is φ = 53856144.

The previous prime is 100980377. The next prime is 100980409. The reversal of 100980405 is 504089001.

It is not a de Polignac number, because 100980405 - 2⁷ = 100980277 is a prime.

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 (100980409) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 373867 + ... + 374136.

It is an arithmetic number, because the mean of its divisors is an integer number (11220060).

Almost surely, 2^100980405 is an apocalyptic number.

100980405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100980405 is a deficient number, since it is larger than the sum of its proper divisors (78540555).

100980405 is an equidigital number, since it uses as much as digits as its factorization.

100980405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748017 (or 748011 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 100980405 is about 10048.9006861447. The cubic root of 100980405 is about 465.6708319674.

The spelling of 100980405 in words is "one hundred million, nine hundred eighty thousand, four hundred five".