100134720 has 168 divisors, whose sum is σ = 393704064. Its totient is φ = 22883328.

The previous prime is 100134719. The next prime is 100134721. The reversal of 100134720 is 27431001.

It is an interprime number because it is at equal distance from previous prime (100134719) and next prime (100134721).

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 100134693 and 100134702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100134721) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17677 + ... + 22643.

Almost surely, 2^100134720 is an apocalyptic number.

100134720 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 100134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196852032).

100134720 is an abundant number, since it is smaller than the sum of its proper divisors (293569344).

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

100134720 is a wasteful number, since it uses less digits than its factorization.

100134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 100134720 is about 10006.7337328421. The cubic root of 100134720 is about 464.3672281111.

Adding to 100134720 its reverse (27431001), we get a palindrome (127565721).

It can be divided in two parts, 1001 and 34720, that added together give a square (35721 = 189²).

The spelling of 100134720 in words is "one hundred million, one hundred thirty-four thousand, seven hundred twenty".