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106260284020 = 225111014782191
BaseRepresentation
bin110001011110110011…
…0110100001001110100
3101011021110110201110211
41202331212310021310
53220110113042040
6120452034355204
710451141340262
oct1427546641164
9334243421424
10106260284020
1141079184150
121871642bb04
13a0357abb07
145200665432
152b6db388ea
hex18bd9b4274

106260284020 has 48 divisors (see below), whose sum is σ = 245842926336. Its totient is φ = 38257520000.

The previous prime is 106260284003. The next prime is 106260284021. The reversal of 106260284020 is 20482062601.

It is a super-2 number, since 2×1062602840202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106260284021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2368876 + ... + 2413315.

It is an arithmetic number, because the mean of its divisors is an integer number (5121727632).

Almost surely, 2106260284020 is an apocalyptic number.

106260284020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106260284020 is an abundant number, since it is smaller than the sum of its proper divisors (139582642316).

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

106260284020 is a wasteful number, since it uses less digits than its factorization.

106260284020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782312 (or 4782310 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 106260284020 in words is "one hundred six billion, two hundred sixty million, two hundred eighty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 4782191 9564382 19128764 23910955 47821910 52604101 95643820 105208202 210416404 263020505 483001291 526041010 966002582 1052082020 1932005164 2415006455 4830012910 5313014201 9660025820 10626028402 21252056804 26565071005 53130142010 106260284020