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106577401 = 7214511499
BaseRepresentation
bin1100101101000…
…11110111111001
321102112200201011
412112203313321
5204240434101
614324153521
72432615200
oct626436771
9242480634
10106577401
11551841a7
122b8388a1
1319107568
1410224237
159553751
hex65a3df9

106577401 has 12 divisors (see below), whose sum is σ = 124146000. Its totient is φ = 91228200.

The previous prime is 106577381. The next prime is 106577417. The reversal of 106577401 is 104775601.

It is not a de Polignac number, because 106577401 - 219 = 106053113 is a prime.

It is a super-2 number, since 2×1065774012 = 22717484807829602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106577201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70350 + ... + 71848.

It is an arithmetic number, because the mean of its divisors is an integer number (10345500).

Almost surely, 2106577401 is an apocalyptic number.

It is an amenable number.

106577401 is a deficient number, since it is larger than the sum of its proper divisors (17568599).

106577401 is a wasteful number, since it uses less digits than its factorization.

106577401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 106577401 is about 10323.6331298628. The cubic root of 106577401 is about 474.1201084887.

The spelling of 106577401 in words is "one hundred six million, five hundred seventy-seven thousand, four hundred one".

Divisors: 1 7 49 1451 1499 10157 10493 71099 73451 2175049 15225343 106577401