105420363820 has 48 divisors (see below), whose sum is σ = 222880019040. Its totient is φ = 41883508224.

The previous prime is 105420363689. The next prime is 105420363827. The reversal of 105420363820 is 28363024501.

It is a super-2 number, since 2×105420363820² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105420363827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3122872 + ... + 3156448.

It is an arithmetic number, because the mean of its divisors is an integer number (4643333730).

Almost surely, 2^105420363820 is an apocalyptic number.

105420363820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105420363820 is an abundant number, since it is smaller than the sum of its proper divisors (117459655220).

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

105420363820 is a wasteful number, since it uses less digits than its factorization.

105420363820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34642 (or 34640 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 105420363820 in words is "one hundred five billion, four hundred twenty million, three hundred sixty-three thousand, eight hundred twenty".