103867528220064 has 192 divisors, whose sum is σ = 347457217524480. Its totient is φ = 29570826055680.

The previous prime is 103867528220011. The next prime is 103867528220081. The reversal of 103867528220064 is 460022825768301.

103867528220064 is a `hidden beast` number, since 1 + 0 + 38 + 6 + 7 + 528 + 2 + 20 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28858989 + ... + 32257964.

It is an arithmetic number, because the mean of its divisors is an integer number (1809673007940).

Almost surely, 2^{103867528220064} is an apocalyptic number.

103867528220064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103867528220064 is an abundant number, since it is smaller than the sum of its proper divisors (243589689304416).

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

103867528220064 is a wasteful number, since it uses less digits than its factorization.

103867528220064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61117260 (or 61117246 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 103867528220064 in words is "one hundred three trillion, eight hundred sixty-seven billion, five hundred twenty-eight million, two hundred twenty thousand, sixty-four".