11641438100 has 36 divisors (see below), whose sum is σ = 26133027900. Its totient is φ = 4496002560.

The previous prime is 11641438099. The next prime is 11641438121. The reversal of 11641438100 is 183414611.

It can be written as a sum of positive squares in 6 ways, for example, as 279157264 + 11362280836 = 16708^2 + 106594^2 .

It is a super-2 number, since 2×11641438100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2004245 + ... + 2010044.

Almost surely, 2^11641438100 is an apocalyptic number.

11641438100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11641438100 is an abundant number, since it is smaller than the sum of its proper divisors (14491589800).

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

11641438100 is a wasteful number, since it uses less digits than its factorization.

11641438100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014332 (or 4014325 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 11641438100 in words is "eleven billion, six hundred forty-one million, four hundred thirty-eight thousand, one hundred".