103171956480 has 108 divisors (see below), whose sum is σ = 356964262200. Its totient is φ = 27512518656.

The previous prime is 103171956467. The next prime is 103171956493. The reversal of 103171956480 is 84659171301.

103171956480 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 7 + 1 + 9 + 564 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (103171956467) and next prime (103171956493).

It is a super-2 number, since 2×103171956480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4466430 + ... + 4489469.

It is an arithmetic number, because the mean of its divisors is an integer number (3305224650).

Almost surely, 2^103171956480 is an apocalyptic number.

103171956480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103171956480 is an abundant number, since it is smaller than the sum of its proper divisors (253792305720).

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

103171956480 is an equidigital number, since it uses as much as digits as its factorization.

103171956480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8955926 (or 8955909 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 103171956480 in words is "one hundred three billion, one hundred seventy-one million, nine hundred fifty-six thousand, four hundred eighty".