103555827639264 has 1152 divisors, whose sum is σ = 394135289856000. Its totient is φ = 23336226385920.

The previous prime is 103555827639259. The next prime is 103555827639373. The reversal of 103555827639264 is 462936728555301.

It is a super-3 number, since 3×103555827639264³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 103555827639195 and 103555827639204.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1623125637 + ... + 1623189435.

It is an arithmetic number, because the mean of its divisors is an integer number (342131328000).

It is a 1-persistent number, because it is pandigital, but 2⋅103555827639264 = 207111655278528 is not.

Almost surely, 2^{103555827639264} is an apocalyptic number.

103555827639264 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 103555827639264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197067644928000).

103555827639264 is an abundant number, since it is smaller than the sum of its proper divisors (290579462216736).

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

103555827639264 is a wasteful number, since it uses less digits than its factorization.

103555827639264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63996 (or 63981 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 66.

The spelling of 103555827639264 in words is "one hundred three trillion, five hundred fifty-five billion, eight hundred twenty-seven million, six hundred thirty-nine thousand, two hundred sixty-four".