100331010 has 96 divisors (see below), whose sum is σ = 290712240. Its totient is φ = 23837184.

The previous prime is 100331003. The next prime is 100331017. The reversal of 100331010 is 10133001.

It is an interprime number because it is at equal distance from previous prime (100331003) and next prime (100331017).

It can be written as a sum of positive squares in 8 ways, for example, as 12552849 + 87778161 = 3543^2 + 9369^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100330983 and 100331001.

It is not an unprimeable number, because it can be changed into a prime (100331017) 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, 32452 + ... + 35408.

Almost surely, 2^100331010 is an apocalyptic number.

100331010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100331010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145356120).

100331010 is an abundant number, since it is smaller than the sum of its proper divisors (190381230).

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

100331010 is a wasteful number, since it uses less digits than its factorization.

100331010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 100331010 is about 10016.5368266682. The cubic root of 100331010 is about 464.6704567627.

Adding to 100331010 its reverse (10133001), we get a palindrome (110464011).

The spelling of 100331010 in words is "one hundred million, three hundred thirty-one thousand, ten".