103012668473904 has 800 divisors, whose sum is σ = 351543145286784. Its totient is φ = 28514773647360.

The previous prime is 103012668473881. The next prime is 103012668473929. The reversal of 103012668473904 is 409374866210301.

103012668473904 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 1 + 26 + 68 + 473 + 90 + 4 = 666.

It is a super-2 number, since 2×103012668473904² (a number of 29 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 44154593122 + ... + 44154595454.

Almost surely, 2^{103012668473904} is an apocalyptic number.

103012668473904 is a gapful number since it is divisible by the number (14) 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 103012668473904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175771572643392).

103012668473904 is an abundant number, since it is smaller than the sum of its proper divisors (248530476812880).

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

103012668473904 is a wasteful number, since it uses less digits than its factorization.

103012668473904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 103012668473904 in words is "one hundred three trillion, twelve billion, six hundred sixty-eight million, four hundred seventy-three thousand, nine hundred four".