100105500 has 96 divisors (see below), whose sum is σ = 318060288. Its totient is φ = 24264000.

The previous prime is 100105487. The next prime is 100105507. The reversal of 100105500 is 5501001.

It is a super-2 number, since 2×100105500² = 20042222260500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105507) 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, 13467 + ... + 19533.

It is an arithmetic number, because the mean of its divisors is an integer number (3313128).

Almost surely, 2^100105500 is an apocalyptic number.

100105500 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 100105500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159030144).

100105500 is an abundant number, since it is smaller than the sum of its proper divisors (217954788).

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

100105500 is a wasteful number, since it uses less digits than its factorization.

100105500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6100 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 100105500 is about 10005.2736094522. The cubic root of 100105500 is about 464.3220551999.

Adding to 100105500 its reverse (5501001), we get a palindrome (105606501).

The spelling of 100105500 in words is "one hundred million, one hundred five thousand, five hundred".