105344263380960 has 192 divisors, whose sum is σ = 381418885108800. Its totient is φ = 27123120654336.

The previous prime is 105344263380911. The next prime is 105344263381033. The reversal of 105344263380960 is 69083362443501.

105344263380960 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 442 + 6 + 33 + 80 + 96 + 0 = 666.

It is a super-2 number, since 2×105344263380960² (a number of 29 digits) contains 22 as substring.

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 = 105344263380897 and 105344263380906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420309999 + ... + 420560558.

It is an arithmetic number, because the mean of its divisors is an integer number (1986556693275).

Almost surely, 2^{105344263380960} is an apocalyptic number.

105344263380960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105344263380960 is an abundant number, since it is smaller than the sum of its proper divisors (276074621727840).

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

105344263380960 is a wasteful number, since it uses less digits than its factorization.

105344263380960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840870610 (or 840870596 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 105344263380960 in words is "one hundred five trillion, three hundred forty-four billion, two hundred sixty-three million, three hundred eighty thousand, nine hundred sixty".