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106445646 = 23222932579
BaseRepresentation
bin1100101100000…
…11101101001110
321102021222222100
412112003231032
5204222230041
614321255530
72431526106
oct626035516
9242258870
10106445646
11550a420a
122b7945a6
131908c5b8
14101cc206
1595296b6
hex6583b4e

106445646 has 24 divisors (see below), whose sum is σ = 230822280. Its totient is φ = 35452656.

The previous prime is 106445629. The next prime is 106445663. The reversal of 106445646 is 646544601.

106445646 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 4 + 5 + 646 = 666.

It is an interprime number because it is at equal distance from previous prime (106445629) and next prime (106445663).

It is a super-3 number, since 3×1064456463 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106445646.

It is a congruent number.

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, 39985 + ... + 42563.

It is an arithmetic number, because the mean of its divisors is an integer number (9617595).

Almost surely, 2106445646 is an apocalyptic number.

106445646 is an abundant number, since it is smaller than the sum of its proper divisors (124376634).

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

106445646 is a wasteful number, since it uses less digits than its factorization.

106445646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4880 (or 4877 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 106445646 is about 10317.2499242773. The cubic root of 106445646 is about 473.9246528742.

It can be divided in two parts, 10644 and 5646, that added together give a triangular number (16290 = T180).

The spelling of 106445646 in words is "one hundred six million, four hundred forty-five thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 2293 2579 4586 5158 6879 7737 13758 15474 20637 23211 41274 46422 5913647 11827294 17740941 35481882 53222823 106445646