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106523316 = 22333131817
BaseRepresentation
bin1100101100101…
…10101010110100
321102102221112000
412112112222310
5204232221231
614323055300
72432301414
oct626265264
9242387460
10106523316
11551475a9
122b811530
13190b8a63
141020c644
1595426e6
hex6596ab4

106523316 has 48 divisors (see below), whose sum is σ = 285089280. Its totient is φ = 34361280.

The previous prime is 106523297. The next prime is 106523353. The reversal of 106523316 is 613325601.

106523316 is a `hidden beast` number, since 1 + 0 + 652 + 3 + 3 + 1 + 6 = 666.

It is a super-2 number, since 2×1065233162 = 22694433703271712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 106523316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12561 + ... + 19256.

It is an arithmetic number, because the mean of its divisors is an integer number (5939360).

Almost surely, 2106523316 is an apocalyptic number.

It is an amenable number.

106523316 is an abundant number, since it is smaller than the sum of its proper divisors (178565964).

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

106523316 is a wasteful number, since it uses less digits than its factorization.

106523316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31861 (or 31853 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 106523316 is about 10321.0133223439. The cubic root of 106523316 is about 474.0398940946.

Adding to 106523316 its reverse (613325601), we get a palindrome (719848917).

The spelling of 106523316 in words is "one hundred six million, five hundred twenty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 31817 63634 95451 127268 190902 286353 381804 572706 859059 986327 1145412 1718118 1972654 2958981 3436236 3945308 5917962 8876943 11835924 17753886 26630829 35507772 53261658 106523316