49096100 has 36 divisors (see below), whose sum is σ = 107615508. Its totient is φ = 19440000.

The previous prime is 49096087. The next prime is 49096139. The reversal of 49096100 is 169094.

49096100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7441984 + 41654116 = 2728^2 + 6454^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7670 + ... + 12530.

Almost surely, 2^49096100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49096100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53807754).

49096100 is an abundant number, since it is smaller than the sum of its proper divisors (58519408).

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

49096100 is a wasteful number, since it uses less digits than its factorization.

49096100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 49096100 is about 7006.8609234093. The cubic root of 49096100 is about 366.1696387810.

The spelling of 49096100 in words is "forty-nine million, ninety-six thousand, one hundred".