100035100 has 72 divisors (see below), whose sum is σ = 238484736. Its totient is φ = 36120000.

The previous prime is 100035097. The next prime is 100035163. The reversal of 100035100 is 1530001.

It is a Harshad number since it is a multiple of its sum of digits (10).

100035100 is a modest number, since divided by 35100 gives 100 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231885 + ... + 232315.

It is an arithmetic number, because the mean of its divisors is an integer number (3312288).

Almost surely, 2^100035100 is an apocalyptic number.

100035100 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 100035100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119242368).

100035100 is an abundant number, since it is smaller than the sum of its proper divisors (138449636).

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

100035100 is a wasteful number, since it uses less digits than its factorization.

100035100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 100035100 is about 10001.7548460258. The cubic root of 100035100 is about 464.2131835980.

Adding to 100035100 its reverse (1530001), we get a palindrome (101565101).

It can be divided in two parts, 1000 and 35100, that added together give a square (36100 = 190²).

The spelling of 100035100 in words is "one hundred million, thirty-five thousand, one hundred".