105476192820 has 90 divisors (see below), whose sum is σ = 330923735142. Its totient is φ = 28123498944.

The previous prime is 105476192819. The next prime is 105476192873. The reversal of 105476192820 is 28291674501.

105476192820 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 7 + 619 + 2 + 8 + 20 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 17256500496 + 88219692324 = 131364^2 + 297018^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×105476192820² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13067746 + ... + 13075814.

Almost surely, 2^105476192820 is an apocalyptic number.

105476192820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105476192820 is an abundant number, since it is smaller than the sum of its proper divisors (225447542322).

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

105476192820 is an frugal number, since it uses more digits than its factorization.

105476192820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16159 (or 8079 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

Multiplying 105476192820 by its sum of digits (45), we get a square (4746428676900 = 2178630²).

105476192820 divided by its sum of digits (45) gives a square (2343915396 = 48414²).

The spelling of 105476192820 in words is "one hundred five billion, four hundred seventy-six million, one hundred ninety-two thousand, eight hundred twenty".