103126278156480 has 2016 divisors, whose sum is σ = 390419316817920. Its totient is φ = 24946403328000.

The previous prime is 103126278156469. The next prime is 103126278156493. The reversal of 103126278156480 is 84651872621301.

It is a happy number.

103126278156480 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 2 + 6 + 2 + 7 + 8 + 156 + 480 = 666.

It is a super-3 number, since 3×103126278156480³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 682955484405 + ... + 682955484555.

Almost surely, 2^{103126278156480} is an apocalyptic number.

103126278156480 is a gapful number since it is divisible by the number (10) 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 103126278156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195209658408960).

103126278156480 is an abundant number, since it is smaller than the sum of its proper divisors (287293038661440).

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

103126278156480 is a wasteful number, since it uses less digits than its factorization.

103126278156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 103126278156480 in words is "one hundred three trillion, one hundred twenty-six billion, two hundred seventy-eight million, one hundred fifty-six thousand, four hundred eighty".