105366431020 has 24 divisors (see below), whose sum is σ = 221361840000. Its totient is φ = 42128984832.

The previous prime is 105366431011. The next prime is 105366431029. The reversal of 105366431020 is 20134663501.

It is an interprime number because it is at equal distance from previous prime (105366431011) and next prime (105366431029).

It is a super-2 number, since 2×105366431020² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105366431029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1050045 + ... + 1146004.

It is an arithmetic number, because the mean of its divisors is an integer number (9223410000).

Almost surely, 2^105366431020 is an apocalyptic number.

105366431020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105366431020 is an abundant number, since it is smaller than the sum of its proper divisors (115995408980).

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

105366431020 is a wasteful number, since it uses less digits than its factorization.

105366431020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198457 (or 2198455 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 105366431020 in words is "one hundred five billion, three hundred sixty-six million, four hundred thirty-one thousand, twenty".