100726560 has 144 divisors (see below), whose sum is σ = 375036480. Its totient is φ = 24414720.

The previous prime is 100726531. The next prime is 100726567. The reversal of 100726560 is 65627001.

100726560 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 2 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (100726567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12661 + ... + 19019.

It is an arithmetic number, because the mean of its divisors is an integer number (2604420).

Almost surely, 2^100726560 is an apocalyptic number.

100726560 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 100726560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187518240).

100726560 is an abundant number, since it is smaller than the sum of its proper divisors (274309920).

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

100726560 is a wasteful number, since it uses less digits than its factorization.

100726560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6391 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 100726560 is about 10036.2622524524. The cubic root of 100726560 is about 465.2803027300.

The spelling of 100726560 in words is "one hundred million, seven hundred twenty-six thousand, five hundred sixty".