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106310376 = 23324136013
BaseRepresentation
bin1100101011000…
…10101011101000
321102001010102100
412111202223220
5204203413001
614314333400
72430423534
oct625425350
9242033370
10106310376
1155011617
122b72a260
1319042b63
1410194bc4
1594ee586
hex6562ae8

106310376 has 48 divisors (see below), whose sum is σ = 294954660. Its totient is φ = 34571520.

The previous prime is 106310371. The next prime is 106310387. The reversal of 106310376 is 673013601.

It can be written as a sum of positive squares in 2 ways, for example, as 96236100 + 10074276 = 9810^2 + 3174^2 .

It is a super-2 number, since 2×1063103762 = 22603792090522752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106310371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15055 + ... + 20958.

Almost surely, 2106310376 is an apocalyptic number.

It is an amenable number.

106310376 is an abundant number, since it is smaller than the sum of its proper divisors (188644284).

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

106310376 is a wasteful number, since it uses less digits than its factorization.

106310376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36066 (or 36059 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 106310376 is about 10310.6923142920. The cubic root of 106310376 is about 473.7238149654.

Adding to 106310376 its reverse (673013601), we get a palindrome (779323977).

The spelling of 106310376 in words is "one hundred six million, three hundred ten thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 36013 72026 108039 144052 216078 288104 324117 432156 648234 864312 1296468 1476533 2592936 2953066 4429599 5906132 8859198 11812264 13288797 17718396 26577594 35436792 53155188 106310376