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106057677 = 31119169151
BaseRepresentation
bin1100101001001…
…00111111001101
321101120021210010
412110210333031
5204122321202
614305103433
72425322025
oct624447715
9241507703
10106057677
1154959780
122b627b79
1318c84b2b
141012aa85
15949e76c
hex6524fcd

106057677 has 16 divisors (see below), whose sum is σ = 162385920. Its totient is φ = 60894000.

The previous prime is 106057667. The next prime is 106057681. The reversal of 106057677 is 776750601.

It is not a de Polignac number, because 106057677 - 24 = 106057661 is a prime.

It is a super-2 number, since 2×1060576772 = 22496461701272658, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106057657) 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, 83949 + ... + 85202.

It is an arithmetic number, because the mean of its divisors is an integer number (10149120).

Almost surely, 2106057677 is an apocalyptic number.

It is an amenable number.

106057677 is a deficient number, since it is larger than the sum of its proper divisors (56328243).

106057677 is a wasteful number, since it uses less digits than its factorization.

106057677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169184.

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 106057677 is about 10298.4308027971. The cubic root of 106057677 is about 473.3481711388.

The spelling of 106057677 in words is "one hundred six million, fifty-seven thousand, six hundred seventy-seven".

Divisors: 1 3 11 19 33 57 209 627 169151 507453 1860661 3213869 5581983 9641607 35352559 106057677