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105044352420 = 22357250105601
BaseRepresentation
bin110000111010100100…
…0011001110110100100
3101001010201110222220010
41201311020121312210
53210112323234140
6120131241010220
710406045156220
oct1416510316644
9331121428803
10105044352420
11406048867a7
1218437183970
139ba08c9c67
145126d89780
152aec002880
hex1875219da4

105044352420 has 48 divisors (see below), whose sum is σ = 336141929088. Its totient is φ = 24010137600.

The previous prime is 105044352403. The next prime is 105044352433. The reversal of 105044352420 is 24253440501.

It is a super-2 number, since 2×1050443524202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125052381 + ... + 125053220.

It is an arithmetic number, because the mean of its divisors is an integer number (7002956856).

Almost surely, 2105044352420 is an apocalyptic number.

105044352420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105044352420 is an abundant number, since it is smaller than the sum of its proper divisors (231097576668).

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

105044352420 is a wasteful number, since it uses less digits than its factorization.

105044352420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250105620 (or 250105618 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 105044352420 its reverse (24253440501), we get a palindrome (129297792921).

The spelling of 105044352420 in words is "one hundred five billion, forty-four million, three hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 250105601 500211202 750316803 1000422404 1250528005 1500633606 1750739207 2501056010 3001267212 3501478414 3751584015 5002112020 5252217621 7002956828 7503168030 8753696035 10504435242 15006336060 17507392070 21008870484 26261088105 35014784140 52522176210 105044352420