105748821000 has 320 divisors, whose sum is σ = 373829742000. Its totient is φ = 27880934400.

The previous prime is 105748820993. The next prime is 105748821029. The reversal of 105748821000 is 128847501.

105748821000 is a `hidden beast` number, since 1 + 0 + 574 + 8 + 82 + 1 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 807810084 + 104941010916 = 28422^2 + 323946^2 .

It is a super-2 number, since 2×105748821000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7201666 + ... + 7216334.

Almost surely, 2^105748821000 is an apocalyptic number.

105748821000 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 105748821000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186914871000).

105748821000 is an abundant number, since it is smaller than the sum of its proper divisors (268080921000).

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

105748821000 is a wasteful number, since it uses less digits than its factorization.

105748821000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14791 (or 14768 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 105748821000 in words is "one hundred five billion, seven hundred forty-eight million, eight hundred twenty-one thousand".