100104960 has 144 divisors (see below), whose sum is σ = 323769600. Its totient is φ = 26357760.

The previous prime is 100104937. The next prime is 100104967. The reversal of 100104960 is 69401001.

It is not an unprimeable number, because it can be changed into a prime (100104967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502941 + ... + 503139.

It is an arithmetic number, because the mean of its divisors is an integer number (2248400).

Almost surely, 2^100104960 is an apocalyptic number.

100104960 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 100104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161884800).

100104960 is an abundant number, since it is smaller than the sum of its proper divisors (223664640).

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

100104960 is a wasteful number, since it uses less digits than its factorization.

100104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 100104960 is about 10005.2466236470. The cubic root of 100104960 is about 464.3212202996.

Adding to 100104960 its reverse (69401001), we get a palindrome (169505961).

The spelling of 100104960 in words is "one hundred million, one hundred four thousand, nine hundred sixty".