100006632 has 48 divisors (see below), whose sum is σ = 295476480. Its totient is φ = 30304800.

The previous prime is 100006609. The next prime is 100006637. The reversal of 100006632 is 236600001.

It is a happy number.

100006632 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 663 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100006637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62344 + ... + 63927.

It is an arithmetic number, because the mean of its divisors is an integer number (6155760).

Almost surely, 2^100006632 is an apocalyptic number.

100006632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100006632 is an abundant number, since it is smaller than the sum of its proper divisors (195469848).

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

100006632 is a wasteful number, since it uses less digits than its factorization.

100006632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126294 (or 126287 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 100006632 is about 10000.3315945023. The cubic root of 100006632 is about 464.1691441402.

Adding to 100006632 its reverse (236600001), we get a palindrome (336606633).

The spelling of 100006632 in words is "one hundred million, six thousand, six hundred thirty-two".