103111929408960 has 896 divisors, whose sum is σ = 374723948544000. Its totient is φ = 26676557107200.

The previous prime is 103111929408953. The next prime is 103111929408977. The reversal of 103111929408960 is 69804929111301.

It is a happy number.

103111929408960 is a `hidden beast` number, since 1 + 0 + 31 + 119 + 2 + 9 + 408 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 103111929408897 and 103111929408906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77703035817 + ... + 77703037143.

Almost surely, 2^{103111929408960} is an apocalyptic number.

103111929408960 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 103111929408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187361974272000).

103111929408960 is an abundant number, since it is smaller than the sum of its proper divisors (271612019135040).

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

103111929408960 is a wasteful number, since it uses less digits than its factorization.

103111929408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 103111929408960 in words is "one hundred three trillion, one hundred eleven billion, nine hundred twenty-nine million, four hundred eight thousand, nine hundred sixty".