105090773760 has 1152 divisors, whose sum is σ = 447955845120. Its totient is φ = 23111516160.

The previous prime is 105090773759. The next prime is 105090773797. The reversal of 105090773760 is 67377090501.

105090773760 is a `hidden beast` number, since 1 + 0 + 509 + 0 + 7 + 73 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×105090773760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 607461034 + ... + 607461206.

It is an arithmetic number, because the mean of its divisors is an integer number (388850560).

Almost surely, 2^105090773760 is an apocalyptic number.

105090773760 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 105090773760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223977922560).

105090773760 is an abundant number, since it is smaller than the sum of its proper divisors (342865071360).

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

105090773760 is an frugal number, since it uses more digits than its factorization.

105090773760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The spelling of 105090773760 in words is "one hundred five billion, ninety million, seven hundred seventy-three thousand, seven hundred sixty".