100035072 has 120 divisors (see below), whose sum is σ = 305930196. Its totient is φ = 31358976.

The previous prime is 100035053. The next prime is 100035083. The reversal of 100035072 is 270530001.

It can be written as a sum of positive squares in 2 ways, for example, as 94945536 + 5089536 = 9744^2 + 2256^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77698 + ... + 78974.

Almost surely, 2^100035072 is an apocalyptic number.

100035072 is a gapful number since it is divisible by the number (12) 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 100035072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152965098).

100035072 is an abundant number, since it is smaller than the sum of its proper divisors (205895124).

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

100035072 is a wasteful number, since it uses less digits than its factorization.

100035072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 100035072 is about 10001.7534462713. The cubic root of 100035072 is about 464.2131402866.

Adding to 100035072 its reverse (270530001), we get a palindrome (370565073).

The spelling of 100035072 in words is "one hundred million, thirty-five thousand, seventy-two".