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106214145066 = 23239829148153
BaseRepresentation
bin110001011101011011…
…0110011110000101010
3101011011020122121201200
41202322312303300222
53220011310120231
6120443305425030
710450041223341
oct1427266636052
9334136577650
10106214145066
1141055130287
1218702a9b176
13a029075c63
1451d8494b58
152b69a72be6
hex18badb3c2a

106214145066 has 24 divisors (see below), whose sum is σ = 230137978980. Its totient is φ = 35403587136.

The previous prime is 106214145041. The next prime is 106214145091. The reversal of 106214145066 is 660541412601.

106214145066 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 141 + 4 + 506 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (106214145041) and next prime (106214145091).

It can be written as a sum of positive squares in 2 ways, for example, as 95653499841 + 10560645225 = 309279^2 + 102765^2 .

It is a super-2 number, since 2×1062141450662 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106214145066.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642846 + ... + 790998.

Almost surely, 2106214145066 is an apocalyptic number.

106214145066 is an abundant number, since it is smaller than the sum of its proper divisors (123923833914).

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

106214145066 is a wasteful number, since it uses less digits than its factorization.

106214145066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187990 (or 187987 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 106214145066 its reverse (660541412601), we get a palindrome (766755557667).

The spelling of 106214145066 in words is "one hundred six billion, two hundred fourteen million, one hundred forty-five thousand, sixty-six".

Divisors: 1 2 3 6 9 18 39829 79658 119487 148153 238974 296306 358461 444459 716922 888918 1333377 2666754 5900785837 11801571674 17702357511 35404715022 53107072533 106214145066