100532988 has 72 divisors (see below), whose sum is σ = 265185648. Its totient is φ = 33302016.

The previous prime is 100532903. The next prime is 100533007. The reversal of 100532988 is 889235001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284620 + ... + 284972.

It is an arithmetic number, because the mean of its divisors is an integer number (3683134).

Almost surely, 2^100532988 is an apocalyptic number.

100532988 is a gapful number since it is divisible by the number (18) 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 100532988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132592824).

100532988 is an abundant number, since it is smaller than the sum of its proper divisors (164652660).

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

100532988 is a wasteful number, since it uses less digits than its factorization.

100532988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 100532988 is about 10026.6139847907. The cubic root of 100532988 is about 464.9820596616.

Adding to 100532988 its reverse (889235001), we get a palindrome (989767989).

It can be divided in two parts, 10053 and 2988, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 100532988 in words is "one hundred million, five hundred thirty-two thousand, nine hundred eighty-eight".