100431948 has 48 divisors (see below), whose sum is σ = 248528000. Its totient is φ = 31477248.

The previous prime is 100431941. The next prime is 100431953. The reversal of 100431948 is 849134001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100431941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30108 + ... + 33276.

Almost surely, 2^100431948 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 100431948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124264000).

100431948 is an abundant number, since it is smaller than the sum of its proper divisors (148096052).

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

100431948 is a wasteful number, since it uses less digits than its factorization.

100431948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 100431948 is about 10021.5741278504. The cubic root of 100431948 is about 464.8262317534.

Adding to 100431948 its reverse (849134001), we get a palindrome (949565949).

The spelling of 100431948 in words is "one hundred million, four hundred thirty-one thousand, nine hundred forty-eight".