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105044452000 = 255326261113
BaseRepresentation
bin110000111010100100…
…0110010001010100000
3101001010201200001111021
41201311020302022200
53210112334431000
6120131243055224
710406046052435
oct1416510621240
9331121601437
10105044452000
11406049445a4
1218437211514
139ba0933397
145126db3b8c
152aec02211a
hex18752322a0

105044452000 has 48 divisors (see below), whose sum is σ = 258094228392. Its totient is φ = 42017779200.

The previous prime is 105044451997. The next prime is 105044452003. The reversal of 105044452000 is 254440501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105044451997) and next prime (105044452003).

It can be written as a sum of positive squares in 4 ways, for example, as 16928091664 + 88116360336 = 130108^2 + 296844^2 .

It is a super-2 number, since 2×1050444520002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (105044452003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13126557 + ... + 13134556.

Almost surely, 2105044452000 is an apocalyptic number.

105044452000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105044452000 is an abundant number, since it is smaller than the sum of its proper divisors (153049776392).

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

105044452000 is an equidigital number, since it uses as much as digits as its factorization.

105044452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26261138 (or 26261120 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 105044452000 its reverse (254440501), we get a palindrome (105298892501).

The spelling of 105044452000 in words is "one hundred five billion, forty-four million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 26261113 52522226 105044452 131305565 210088904 262611130 420177808 525222260 656527825 840355616 1050444520 1313055650 2100889040 2626111300 3282639125 4201778080 5252222600 6565278250 10504445200 13130556500 21008890400 26261113000 52522226000 105044452000