11108949201 has 75 divisors (see below), whose sum is σ = 19440847481. Its totient is φ = 6321410424.

The previous prime is 11108949199. The next prime is 11108949223. The reversal of 11108949201 is 10294980111.

The square root of 11108949201 is 105399.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 11108949201 - 2¹ = 11108949199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11108849201) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 46480840 + ... + 46481078.

Almost surely, 2^11108949201 is an apocalyptic number.

11108949201 is the 105399-th square number.

11108949201 is the 52700-th centered octagonal number.

It is an amenable number.

11108949201 is a deficient number, since it is larger than the sum of its proper divisors (8331898280).

11108949201 is an frugal number, since it uses more digits than its factorization.

11108949201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

Multiplying 11108949201 by its sum of digits (36), we get a square (399922171236 = 632394²).

Multiplying 11108949201 by its product of nonzero digits (5184), we get a square (57588792657984 = 7588728²).

The spelling of 11108949201 in words is "eleven billion, one hundred eight million, nine hundred forty-nine thousand, two hundred one".