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106423146 = 2343531861
BaseRepresentation
bin1100101011111…
…10001101101010
321102020212010000
412111332031222
5204221020041
614321003430
72431403364
oct625761552
9242225100
10106423146
1155089315
122b783576
131908229b
14101c3d34
159522bb6
hex657e36a

106423146 has 40 divisors (see below), whose sum is σ = 239270724. Its totient is φ = 35354880.

The previous prime is 106423133. The next prime is 106423169. The reversal of 106423146 is 641324601.

106423146 is a `hidden beast` number, since 1 + 0 + 642 + 3 + 14 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88454025 + 17969121 = 9405^2 + 4239^2 .

It is a super-2 number, since 2×1064231462 = 22651772009074632, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56256 + ... + 58116.

Almost surely, 2106423146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106423146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119635362).

106423146 is an abundant number, since it is smaller than the sum of its proper divisors (132847578).

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

106423146 is a wasteful number, since it uses less digits than its factorization.

106423146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106423146 is about 10316.1594597990. The cubic root of 106423146 is about 473.8912585034.

Adding to 106423146 its reverse (641324601), we get a palindrome (747747747).

The spelling of 106423146 in words is "one hundred six million, four hundred twenty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 353 706 1059 1861 2118 3177 3722 5583 6354 9531 11166 16749 19062 28593 33498 50247 57186 100494 150741 301482 656933 1313866 1970799 3941598 5912397 11824794 17737191 35474382 53211573 106423146