100526080 has 48 divisors (see below), whose sum is σ = 241228260. Its totient is φ = 40206336.

The previous prime is 100526039. The next prime is 100526081. The reversal of 100526080 is 80625001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 92775424 + 7750656 = 9632^2 + 2784^2 .

It is not an unprimeable number, because it can be changed into a prime (100526081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5332 + ... + 15148.

Almost surely, 2^100526080 is an apocalyptic number.

100526080 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 100526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120614130).

100526080 is an abundant number, since it is smaller than the sum of its proper divisors (140702180).

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

100526080 is an frugal number, since it uses more digits than its factorization.

100526080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9844 (or 9824 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 100526080 is about 10026.2694956798. The cubic root of 100526080 is about 464.9714091952.

The spelling of 100526080 in words is "one hundred million, five hundred twenty-six thousand, eighty".