100730520 has 256 divisors, whose sum is σ = 374976000. Its totient is φ = 23846400.

The previous prime is 100730519. The next prime is 100730521. The reversal of 100730520 is 25037001.

It is an interprime number because it is at equal distance from previous prime (100730519) and next prime (100730521).

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 = 100730493 and 100730502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100730521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 724611 + ... + 724749.

It is an arithmetic number, because the mean of its divisors is an integer number (1464750).

Almost surely, 2^100730520 is an apocalyptic number.

100730520 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 100730520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

100730520 is an abundant number, since it is smaller than the sum of its proper divisors (274245480).

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

100730520 is a wasteful number, since it uses less digits than its factorization.

100730520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 100730520 is about 10036.4595351150. The cubic root of 100730520 is about 465.2864000488.

Adding to 100730520 its reverse (25037001), we get a palindrome (125767521).

The spelling of 100730520 in words is "one hundred million, seven hundred thirty thousand, five hundred twenty".