103016448900 has 216 divisors, whose sum is σ = 328446728064. Its totient is φ = 27001497600.

The previous prime is 103016448893. The next prime is 103016448901. The reversal of 103016448900 is 9844610301.

103016448900 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 1 + 644 + 8 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×103016448900² (a number of 23 digits) contains 22 as substring.

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 (103016448901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22554417 + ... + 22558983.

It is an arithmetic number, because the mean of its divisors is an integer number (1520586704).

Almost surely, 2^103016448900 is an apocalyptic number.

103016448900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103016448900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164223364032).

103016448900 is an abundant number, since it is smaller than the sum of its proper divisors (225430279164).

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

103016448900 is a wasteful number, since it uses less digits than its factorization.

103016448900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 103016448900 in words is "one hundred three billion, sixteen million, four hundred forty-eight thousand, nine hundred".