100048032 has 72 divisors (see below), whose sum is σ = 325162656. Its totient is φ = 28584576.

The previous prime is 100048027. The next prime is 100048079. The reversal of 100048032 is 230840001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 100047996 and 100048014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22798 + ... + 26829.

It is an arithmetic number, because the mean of its divisors is an integer number (4516148).

Almost surely, 2^100048032 is an apocalyptic number.

100048032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100048032 is an abundant number, since it is smaller than the sum of its proper divisors (225114624).

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

100048032 is a wasteful number, since it uses less digits than its factorization.

100048032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49650 (or 49639 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100048032 is about 10002.4013116851. The cubic root of 100048032 is about 464.2331863978.

Adding to 100048032 its reverse (230840001), we get a palindrome (330888033).

The spelling of 100048032 in words is "one hundred million, forty-eight thousand, thirty-two".