103214564145 has 128 divisors (see below), whose sum is σ = 229026631680. Its totient is φ = 42846243840.

The previous prime is 103214564137. The next prime is 103214564203. The reversal of 103214564145 is 541465412301.

103214564145 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 1 + 4 + 5 + 641 + 4 + 5 = 666.

It is not a de Polignac number, because 103214564145 - 2³ = 103214564137 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10150834 + ... + 10160996.

It is an arithmetic number, because the mean of its divisors is an integer number (1789270560).

Almost surely, 2^103214564145 is an apocalyptic number.

103214564145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103214564145 is an abundant number, since it is smaller than the sum of its proper divisors (125812067535).

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

103214564145 is a wasteful number, since it uses less digits than its factorization.

103214564145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11172 (or 11166 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 103214564145 its reverse (541465412301), we get a palindrome (644679976446).

The spelling of 103214564145 in words is "one hundred three billion, two hundred fourteen million, five hundred sixty-four thousand, one hundred forty-five".