100632040 has 64 divisors (see below), whose sum is σ = 237504960. Its totient is φ = 38330880.

The previous prime is 100632031. The next prime is 100632047. The reversal of 100632040 is 40236001.

It is not an unprimeable number, because it can be changed into a prime (100632047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69807 + ... + 71233.

It is an arithmetic number, because the mean of its divisors is an integer number (3711015).

Almost surely, 2^100632040 is an apocalyptic number.

100632040 is a gapful number since it is divisible by the number (10) 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 100632040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118752480).

100632040 is an abundant number, since it is smaller than the sum of its proper divisors (136872920).

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

100632040 is a wasteful number, since it uses less digits than its factorization.

100632040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 100632040 is about 10031.5522228616. The cubic root of 100632040 is about 465.1347202820.

Adding to 100632040 its reverse (40236001), we get a palindrome (140868041).

The spelling of 100632040 in words is "one hundred million, six hundred thirty-two thousand, forty".