2100903948 has 288 divisors, whose sum is σ = 6721827840. Its totient is φ = 543697920.

The previous prime is 2100903947. The next prime is 2100903949. The reversal of 2100903948 is 8493090012.

It is an interprime number because it is at equal distance from previous prime (2100903947) and next prime (2100903949).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2100903943) 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 95 ways as a sum of consecutive naturals, for example, 4596936 + ... + 4597392.

It is an arithmetic number, because the mean of its divisors is an integer number (23339680).

Almost surely, 2^2100903948 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 2100903948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360913920).

2100903948 is an abundant number, since it is smaller than the sum of its proper divisors (4620923892).

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

2100903948 is a wasteful number, since it uses less digits than its factorization.

2100903948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2100903948 is about 45835.6187696861. The cubic root of 2100903948 is about 1280.7628810067.

The spelling of 2100903948 in words is "two billion, one hundred million, nine hundred three thousand, nine hundred forty-eight".