100042332 has 96 divisors (see below), whose sum is σ = 263122944. Its totient is φ = 29376000.

The previous prime is 100042309. The next prime is 100042333. The reversal of 100042332 is 233240001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100042333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662457 + ... + 662607.

It is an arithmetic number, because the mean of its divisors is an integer number (2740864).

Almost surely, 2^100042332 is an apocalyptic number.

100042332 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 100042332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131561472).

100042332 is an abundant number, since it is smaller than the sum of its proper divisors (163080612).

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

100042332 is a wasteful number, since it uses less digits than its factorization.

100042332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 100042332 is about 10002.1163760476. The cubic root of 100042332 is about 464.2243700344.

Adding to 100042332 its reverse (233240001), we get a palindrome (333282333).

The spelling of 100042332 in words is "one hundred million, forty-two thousand, three hundred thirty-two".