100366960 has 80 divisors (see below), whose sum is σ = 240511392. Its totient is φ = 38937600.

The previous prime is 100366951. The next prime is 100366961. The reversal of 100366960 is 69663001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100366961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639202 + ... + 639358.

Almost surely, 2^100366960 is an apocalyptic number.

100366960 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 100366960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120255696).

100366960 is an abundant number, since it is smaller than the sum of its proper divisors (140144432).

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

100366960 is a wasteful number, since it uses less digits than its factorization.

100366960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 100366960 is about 10018.3311983583. The cubic root of 100366960 is about 464.7259494368.

The spelling of 100366960 in words is "one hundred million, three hundred sixty-six thousand, nine hundred sixty".