100970500 has 48 divisors (see below), whose sum is σ = 223095600. Its totient is φ = 39916800.

The previous prime is 100970491. The next prime is 100970533. The reversal of 100970500 is 5079001.

It can be written as a sum of positive squares in 8 ways, for example, as 76842756 + 24127744 = 8766^2 + 4912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43366 + ... + 45634.

It is an arithmetic number, because the mean of its divisors is an integer number (4647825).

Almost surely, 2^100970500 is an apocalyptic number.

100970500 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 100970500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111547800).

100970500 is an abundant number, since it is smaller than the sum of its proper divisors (122125100).

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

100970500 is a wasteful number, since it uses less digits than its factorization.

100970500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 100970500 is about 10048.4078340800. The cubic root of 100970500 is about 465.6556058437.

The spelling of 100970500 in words is "one hundred million, nine hundred seventy thousand, five hundred".