100348632 has 80 divisors (see below), whose sum is σ = 293333040. Its totient is φ = 31990464.

The previous prime is 100348621. The next prime is 100348649. The reversal of 100348632 is 236843001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100348596 and 100348605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11538 + ... + 18270.

It is an arithmetic number, because the mean of its divisors is an integer number (3666663).

Almost surely, 2^100348632 is an apocalyptic number.

100348632 is a gapful number since it is divisible by the number (12) 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 100348632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146666520).

100348632 is an abundant number, since it is smaller than the sum of its proper divisors (192984408).

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

100348632 is a wasteful number, since it uses less digits than its factorization.

100348632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6774 (or 6761 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 100348632 is about 10017.4164333924. The cubic root of 100348632 is about 464.6976598625.

The spelling of 100348632 in words is "one hundred million, three hundred forty-eight thousand, six hundred thirty-two".