105464308743600 has 960 divisors, whose sum is σ = 361073156505600. Its totient is φ = 26266705920000.

The previous prime is 105464308743571. The next prime is 105464308743667. The reversal of 105464308743600 is 6347803464501.

It is a super-2 number, since 2×105464308743600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115767627145 + ... + 115767628055.

It is an arithmetic number, because the mean of its divisors is an integer number (376117871360).

Almost surely, 2^{105464308743600} is an apocalyptic number.

105464308743600 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 105464308743600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180536578252800).

105464308743600 is an abundant number, since it is smaller than the sum of its proper divisors (255608847762000).

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

105464308743600 is a wasteful number, since it uses less digits than its factorization.

105464308743600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 105464308743600 in words is "one hundred five trillion, four hundred sixty-four billion, three hundred eight million, seven hundred forty-three thousand, six hundred".