103046760714672 has 320 divisors, whose sum is σ = 315906894950400. Its totient is φ = 32089089392640.

The previous prime is 103046760714661. The next prime is 103046760714697. The reversal of 103046760714672 is 276417067640301.

It is a happy number.

103046760714672 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 46 + 76 + 0 + 71 + 467 + 2 = 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 63 ways as a sum of consecutive naturals, for example, 2626513168 + ... + 2626552400.

It is an arithmetic number, because the mean of its divisors is an integer number (987209046720).

Almost surely, 2^{103046760714672} is an apocalyptic number.

103046760714672 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 103046760714672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157953447475200).

103046760714672 is an abundant number, since it is smaller than the sum of its proper divisors (212860134235728).

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

103046760714672 is a wasteful number, since it uses less digits than its factorization.

103046760714672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46073 (or 46061 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 103046760714672 in words is "one hundred three trillion, forty-six billion, seven hundred sixty million, seven hundred fourteen thousand, six hundred seventy-two".