100623600 has 480 divisors, whose sum is σ = 450209280. Its totient is φ = 20908800.

The previous prime is 100623599. The next prime is 100623617. The reversal of 100623600 is 6326001.

It is a happy number.

100623600 is a `hidden beast` number, since 1 + 0 + 0 + 62 + 3 + 600 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 9147595 + ... + 9147605.

It is an arithmetic number, because the mean of its divisors is an integer number (937936).

Almost surely, 2^100623600 is an apocalyptic number.

100623600 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 100623600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225104640).

100623600 is an abundant number, since it is smaller than the sum of its proper divisors (349585680).

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

100623600 is a wasteful number, since it uses less digits than its factorization.

100623600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 100623600 is about 10031.1315413566. The cubic root of 100623600 is about 465.1217163163.

Adding to 100623600 its reverse (6326001), we get a palindrome (106949601).

The spelling of 100623600 in words is "one hundred million, six hundred twenty-three thousand, six hundred".