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106158416 = 2471372911
BaseRepresentation
bin1100101001111…
…01100101010000
321101202101222012
412110331211100
5204134032131
614311202052
72426221520
oct624754520
9241671865
10106158416
1154a18431
122b676328
1318cbb940
1410155680
1594be52b
hex653d950

106158416 has 40 divisors (see below), whose sum is σ = 253150464. Its totient is φ = 41996160.

The previous prime is 106158413. The next prime is 106158431. The reversal of 106158416 is 614851601.

It is a super-2 number, since 2×1061584162 = 22539218575258112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106158413) 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 7 ways as a sum of consecutive naturals, for example, 35000 + ... + 37911.

Almost surely, 2106158416 is an apocalyptic number.

106158416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106158416 is an abundant number, since it is smaller than the sum of its proper divisors (146992048).

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

106158416 is a wasteful number, since it uses less digits than its factorization.

106158416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72939 (or 72933 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 106158416 is about 10303.3206297776. The cubic root of 106158416 is about 473.4979938044.

The spelling of 106158416 in words is "one hundred six million, one hundred fifty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 72911 145822 291644 510377 583288 947843 1020754 1166576 1895686 2041508 3791372 4083016 6634901 7582744 8166032 13269802 15165488 26539604 53079208 106158416