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106041937 = 1723793433
BaseRepresentation
bin1100101001000…
…01001001010001
321101112111012011
412110201021101
5204121320222
614304502521
72425225111
oct624411121
9241474164
10106041937
1154948971
122b61aa41
1318c7a911
1410125041
159499c77
hex6521251

106041937 has 16 divisors (see below), whose sum is σ = 118679040. Its totient is φ = 94228992.

The previous prime is 106041931. The next prime is 106041941. The reversal of 106041937 is 739140601.

It is a happy number.

It is a 3-Lehmer number, since φ(106041937) divides (106041937-1)3.

It is a cyclic number.

It is a Carmichael number.

It is a de Polignac number, because none of the positive numbers 2k-106041937 is a prime.

It is a super-2 number, since 2×1060419372 = 22489784805423938, which contains 22 as substring.

It is a deceptive number, since it divides R106041936.

It is a junction number, because it is equal to n+sod(n) for n = 106041899 and 106041908.

It is not an unprimeable number, because it can be changed into a prime (106041931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29173 + ... + 32605.

It is an arithmetic number, because the mean of its divisors is an integer number (7417440).

It is a Poulet number, since it divides 2106041936-1.

Almost surely, 2106041937 is an apocalyptic number.

106041937 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106041937 is a deficient number, since it is larger than the sum of its proper divisors (12637103).

106041937 is a wasteful number, since it uses less digits than its factorization.

106041937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552.

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 106041937 is about 10297.6665803472. Note that the first 3 decimals coincide. The cubic root of 106041937 is about 473.3247534758.

The spelling of 106041937 in words is "one hundred six million, forty-one thousand, nine hundred thirty-seven".

Divisors: 1 17 23 79 391 1343 1817 3433 30889 58361 78959 271207 1342303 4610519 6237761 106041937