101304960 has 128 divisors (see below), whose sum is σ = 340027200. Its totient is φ = 25583616.

The previous prime is 101304953. The next prime is 101304961. The reversal of 101304960 is 69403101.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101304960.

It is not an unprimeable number, because it can be changed into a prime (101304961) 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, 35092 + ... + 37868.

Almost surely, 2^101304960 is an apocalyptic number.

101304960 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 101304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170013600).

101304960 is an abundant number, since it is smaller than the sum of its proper divisors (238722240).

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

101304960 is a wasteful number, since it uses less digits than its factorization.

101304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 101304960 is about 10065.0365126014. The cubic root of 101304960 is about 466.1691932306.

The spelling of 101304960 in words is "one hundred one million, three hundred four thousand, nine hundred sixty".