100532520 has 192 divisors, whose sum is σ = 363916800. Its totient is φ = 23861760.

The previous prime is 100532503. The next prime is 100532557. The reversal of 100532520 is 25235001.

It is a happy number.

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 = 100532493 and 100532502.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209641 + ... + 210119.

It is an arithmetic number, because the mean of its divisors is an integer number (1895400).

Almost surely, 2^100532520 is an apocalyptic number.

100532520 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 100532520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181958400).

100532520 is an abundant number, since it is smaller than the sum of its proper divisors (263384280).

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

100532520 is a wasteful number, since it uses less digits than its factorization.

100532520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 100532520 is about 10026.5906468749. The cubic root of 100532520 is about 464.9813381342.

Adding to 100532520 its reverse (25235001), we get a palindrome (125767521).

The spelling of 100532520 in words is "one hundred million, five hundred thirty-two thousand, five hundred twenty".