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106208462220 = 223571313475563
BaseRepresentation
bin110001011101010000…
…1001000010110001100
3101011010211221220022220
41202322201020112030
53220003331242340
6120442543535340
710446642014310
oct1427241102614
9334124856286
10106208462220
11410519a9713
1218700bba550
13a027b36423
1451d7815b40
152b692eded0
hex18ba84858c

106208462220 has 192 divisors, whose sum is σ = 343510142976. Its totient is φ = 24017160960.

The previous prime is 106208462219. The next prime is 106208462263. The reversal of 106208462220 is 22264802601.

It is a super-2 number, since 2×1062084622202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19089159 + ... + 19094721.

It is an arithmetic number, because the mean of its divisors is an integer number (1789115328).

Almost surely, 2106208462220 is an apocalyptic number.

106208462220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106208462220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171755071488).

106208462220 is an abundant number, since it is smaller than the sum of its proper divisors (237301680756).

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

106208462220 is a wasteful number, since it uses less digits than its factorization.

106208462220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060 (or 6058 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 106208462220 in words is "one hundred six billion, two hundred eight million, four hundred sixty-two thousand, two hundred twenty".