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106242362005146 = 2317707060334191
BaseRepresentation
bin11000001010000001111010…
…001111110101011010011010
3111221011200002212201121002220
4120022001322033311122122
5102411133324133131041
61013543022312404510
731243520525540553
oct3012017217653232
9457150085647086
10106242362005146
113094115068a234
12baba5940a6736
1347387c501c133
141c3422cc5d32a
15c4391ac31d66
hex60a07a3f569a

106242362005146 has 8 divisors (see below), whose sum is σ = 212484724010304. Its totient is φ = 35414120668380.

The previous prime is 106242362005123. The next prime is 106242362005181. The reversal of 106242362005146 is 641500263242601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

106242362005146 is an admirable number.

It is a super-2 number, since 2×1062423620051462 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106242362005098 and 106242362005107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8853530167090 + ... + 8853530167101.

It is an arithmetic number, because the mean of its divisors is an integer number (26560590501288).

Almost surely, 2106242362005146 is an apocalyptic number.

106242362005146 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

106242362005146 is a wasteful number, since it uses less digits than its factorization.

106242362005146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17707060334196.

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 106242362005146 in words is "one hundred six trillion, two hundred forty-two billion, three hundred sixty-two million, five thousand, one hundred forty-six".

Divisors: 1 2 3 6 17707060334191 35414120668382 53121181002573 106242362005146