103210891238052 has 288 divisors, whose sum is σ = 312964616764800. Its totient is φ = 28369337020416.

The previous prime is 103210891237997. The next prime is 103210891238057. The reversal of 103210891238052 is 250832198012301.

103210891238052 is a `hidden beast` number, since 1 + 0 + 3 + 210 + 8 + 9 + 1 + 2 + 380 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 103210891237989 and 103210891238007.

It is not an unprimeable number, because it can be changed into a prime (103210891238057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9821743 + ... + 17403689.

It is an arithmetic number, because the mean of its divisors is an integer number (1086682697100).

Almost surely, 2^{103210891238052} is an apocalyptic number.

103210891238052 is a gapful number since it is divisible by the number (12) 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 103210891238052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156482308382400).

103210891238052 is an abundant number, since it is smaller than the sum of its proper divisors (209753725526748).

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

103210891238052 is a wasteful number, since it uses less digits than its factorization.

103210891238052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7582075 (or 7582070 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 103210891238052 in words is "one hundred three trillion, two hundred ten billion, eight hundred ninety-one million, two hundred thirty-eight thousand, fifty-two".