105423884010 has 48 divisors (see below), whose sum is σ = 275144373504. Its totient is φ = 28006135776.

The previous prime is 105423883979. The next prime is 105423884017. The reversal of 105423884010 is 10488324501.

105423884010 is a `hidden beast` number, since 1 + 0 + 542 + 38 + 84 + 0 + 1 + 0 = 666.

It is a super-2 number, since 2×105423884010² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105423884017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2203282 + ... + 2250621.

It is an arithmetic number, because the mean of its divisors is an integer number (5732174448).

Almost surely, 2^105423884010 is an apocalyptic number.

105423884010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105423884010 is an abundant number, since it is smaller than the sum of its proper divisors (169720489494).

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

105423884010 is a wasteful number, since it uses less digits than its factorization.

105423884010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4454179 (or 4454176 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 105423884010 in words is "one hundred five billion, four hundred twenty-three million, eight hundred eighty-four thousand, ten".