100949536 has 24 divisors (see below), whose sum is σ = 210436380. Its totient is φ = 47505408.

The previous prime is 100949533. The next prime is 100949543. The reversal of 100949536 is 635949001.

It can be written as a sum of positive squares in 2 ways, for example, as 100881936 + 67600 = 10044^2 + 260^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100949495 and 100949504.

It is not an unprimeable number, because it can be changed into a prime (100949533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 92241 + ... + 93328.

Almost surely, 2^100949536 is an apocalyptic number.

100949536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100949536 is an abundant number, since it is smaller than the sum of its proper divisors (109486844).

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

100949536 is a wasteful number, since it uses less digits than its factorization.

100949536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185596 (or 185588 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 100949536 is about 10047.3646295932. The cubic root of 100949536 is about 465.6233763648.

The spelling of 100949536 in words is "one hundred million, nine hundred forty-nine thousand, five hundred thirty-six".