100005630 has 64 divisors (see below), whose sum is σ = 251942400. Its totient is φ = 25370240.

The previous prime is 100005623. The next prime is 100005637. The reversal of 100005630 is 36500001.

It is an interprime number because it is at equal distance from previous prime (100005623) and next prime (100005637).

It is a super-2 number, since 2×100005630² = 20002252063393800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100005637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60961 + ... + 62579.

It is an arithmetic number, because the mean of its divisors is an integer number (3936600).

Almost surely, 2^100005630 is an apocalyptic number.

100005630 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 100005630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125971200).

100005630 is an abundant number, since it is smaller than the sum of its proper divisors (151936770).

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

100005630 is a wasteful number, since it uses less digits than its factorization.

100005630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 100005630 is about 10000.2814960380. The cubic root of 100005630 is about 464.1675939129.

Adding to 100005630 its reverse (36500001), we get a palindrome (136505631).

The spelling of 100005630 in words is "one hundred million, five thousand, six hundred thirty".