100780560 has 240 divisors, whose sum is σ = 365601600. Its totient is φ = 24800256.

The previous prime is 100780553. The next prime is 100780567. The reversal of 100780560 is 65087001.

It is an interprime number because it is at equal distance from previous prime (100780553) and next prime (100780567).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (100780567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 724971 + ... + 725109.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^100780560 is an apocalyptic number.

100780560 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 100780560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

100780560 is an abundant number, since it is smaller than the sum of its proper divisors (264821040).

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

100780560 is a wasteful number, since it uses less digits than its factorization.

100780560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 100780560 is about 10038.9521365529. The cubic root of 100780560 is about 465.3634342224.

The spelling of 100780560 in words is "one hundred million, seven hundred eighty thousand, five hundred sixty".