100432948 has 72 divisors (see below), whose sum is σ = 229249440. Its totient is φ = 38041920.

The previous prime is 100432909. The next prime is 100432949. The reversal of 100432948 is 849234001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100432949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79143 + ... + 80401.

It is an arithmetic number, because the mean of its divisors is an integer number (3184020).

Almost surely, 2^100432948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100432948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114624720).

100432948 is an abundant number, since it is smaller than the sum of its proper divisors (128816492).

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

100432948 is a wasteful number, since it uses less digits than its factorization.

100432948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 100432948 is about 10021.6240200878. The cubic root of 100432948 is about 464.8277745052.

Adding to 100432948 its reverse (849234001), we get a palindrome (949666949).

The spelling of 100432948 in words is "one hundred million, four hundred thirty-two thousand, nine hundred forty-eight".