100023630 has 64 divisors (see below), whose sum is σ = 278484480. Its totient is φ = 22518144.

The previous prime is 100023611. The next prime is 100023643. The reversal of 100023630 is 36320001.

It is a super-3 number, since 3×100023630³ (a number of 25 digits) contains 333 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10516 + ... + 17624.

It is an arithmetic number, because the mean of its divisors is an integer number (4351320).

Almost surely, 2^100023630 is an apocalyptic number.

100023630 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 100023630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139242240).

100023630 is an abundant number, since it is smaller than the sum of its proper divisors (178460850).

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

100023630 is a wasteful number, since it uses less digits than its factorization.

100023630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7193.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 100023630 is about 10001.1814302111. The cubic root of 100023630 is about 464.1954407300.

Adding to 100023630 its reverse (36320001), we get a palindrome (136343631).

The spelling of 100023630 in words is "one hundred million, twenty-three thousand, six hundred thirty".