105401083820 has 48 divisors (see below), whose sum is σ = 225639287328. Its totient is φ = 41346063360.

The previous prime is 105401083819. The next prime is 105401083847. The reversal of 105401083820 is 28380104501.

It is a super-2 number, since 2×105401083820² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282959 + ... + 539321.

It is an arithmetic number, because the mean of its divisors is an integer number (4700818486).

Almost surely, 2^105401083820 is an apocalyptic number.

105401083820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105401083820 is an abundant number, since it is smaller than the sum of its proper divisors (120238203508).

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

105401083820 is a wasteful number, since it uses less digits than its factorization.

105401083820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256770 (or 256768 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 105401083820 in words is "one hundred five billion, four hundred one million, eighty-three thousand, eight hundred twenty".