100536642 has 12 divisors (see below), whose sum is σ = 217829430. Its totient is φ = 33512208.

The previous prime is 100536641. The next prime is 100536643. The reversal of 100536642 is 246635001.

100536642 is a `hidden beast` number, since 10 + 0 + 5 + 3 + 6 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (100536641) and next prime (100536643).

It can be written as a sum of positive squares in only one way, i.e., 51969681 + 48566961 = 7209^2 + 6969^2 .

It is not an unprimeable number, because it can be changed into a prime (100536641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2792667 + ... + 2792702.

Almost surely, 2^100536642 is an apocalyptic number.

100536642 is an abundant number, since it is smaller than the sum of its proper divisors (117292788).

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

100536642 is a wasteful number, since it uses less digits than its factorization.

100536642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5585377 (or 5585374 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 100536642 is about 10026.7961981881. The cubic root of 100536642 is about 464.9876930492.

The spelling of 100536642 in words is "one hundred million, five hundred thirty-six thousand, six hundred forty-two".