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106012637 = 1098771109
BaseRepresentation
bin1100101000110…
…01111111011101
321101110222222222
412110121333131
5204114401022
614304115125
72425043513
oct624317735
9241428888
10106012637
1154928955
122b605aa5
1318c6a493
14101184b3
159491242
hex6519fdd

106012637 has 8 divisors (see below), whose sum is σ = 107203800. Its totient is φ = 104825664.

The previous prime is 106012633. The next prime is 106012657. The reversal of 106012637 is 736210601.

It can be written as a sum of positive squares in 4 ways, for example, as 12716356 + 93296281 = 3566^2 + 9659^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106012637 - 22 = 106012633 is a prime.

It is a super-2 number, since 2×1060126372 = 22477358407387538, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106012633) 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 7 ways as a sum of consecutive naturals, for example, 95039 + ... + 96147.

It is an arithmetic number, because the mean of its divisors is an integer number (13400475).

Almost surely, 2106012637 is an apocalyptic number.

It is an amenable number.

106012637 is a deficient number, since it is larger than the sum of its proper divisors (1191163).

106012637 is a wasteful number, since it uses less digits than its factorization.

106012637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 106012637 is about 10296.2438296691. The cubic root of 106012637 is about 473.2811553385.

The spelling of 106012637 in words is "one hundred six million, twelve thousand, six hundred thirty-seven".

Divisors: 1 109 877 1109 95593 120881 972593 106012637