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106352104122 = 232114753383563
BaseRepresentation
bin110001100001100010…
…1000101001010111010
3101011111212020122222100
41203003011011022322
53220302114312442
6120505114404230
710453334653335
oct1430305051272
9334455218870
10106352104122
1141115a98a30
1218741130676
13a04b81a334
14520c92761c
152b76c2484c
hex18c31452ba

106352104122 has 192 divisors, whose sum is σ = 262718816256. Its totient is φ = 30811447680.

The previous prime is 106352104081. The next prime is 106352104153. The reversal of 106352104122 is 221401253601.

106352104122 is a `hidden beast` number, since 1 + 0 + 6 + 35 + 210 + 412 + 2 = 666.

It is a super-2 number, since 2×1063521041222 (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 95 ways as a sum of consecutive naturals, for example, 188902213 + ... + 188902775.

It is an arithmetic number, because the mean of its divisors is an integer number (1368327168).

Almost surely, 2106352104122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106352104122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131359408128).

106352104122 is an abundant number, since it is smaller than the sum of its proper divisors (156366712134).

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

106352104122 is a wasteful number, since it uses less digits than its factorization.

106352104122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 106352104122 its reverse (221401253601), we get a palindrome (327753357723).

The spelling of 106352104122 in words is "one hundred six billion, three hundred fifty-two million, one hundred four thousand, one hundred twenty-two".