100405500 has 192 divisors, whose sum is σ = 332666880. Its totient is φ = 23328000.

The previous prime is 100405471. The next prime is 100405517. The reversal of 100405500 is 5504001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100405500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370365 + ... + 370635.

It is an arithmetic number, because the mean of its divisors is an integer number (1732640).

Almost surely, 2^100405500 is an apocalyptic number.

100405500 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 100405500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166333440).

100405500 is an abundant number, since it is smaller than the sum of its proper divisors (232261380).

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

100405500 is a wasteful number, since it uses less digits than its factorization.

100405500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 100405500 is about 10020.2544877862. The cubic root of 100405500 is about 464.7854253376.

Adding to 100405500 its reverse (5504001), we get a palindrome (105909501).

The spelling of 100405500 in words is "one hundred million, four hundred five thousand, five hundred".