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106131776 = 261658309
BaseRepresentation
bin1100101001101…
…11000101000000
321101201001102112
412110313011000
5204132204101
614310434452
72426051042
oct624670500
9241631375
10106131776
11549aa413
122b662a28
1318cac78a
1410149a92
1594b66bb
hex6537140

106131776 has 14 divisors (see below), whose sum is σ = 210605370. Its totient is φ = 53065856.

The previous prime is 106131769. The next prime is 106131797. The reversal of 106131776 is 677131601.

It can be written as a sum of positive squares in only one way, i.e., 60217600 + 45914176 = 7760^2 + 6776^2 .

It is a super-2 number, since 2×1061317762 = 22527907753828352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 829091 + ... + 829218.

Almost surely, 2106131776 is an apocalyptic number.

106131776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106131776 is a deficient number, since it is larger than the sum of its proper divisors (104473594).

106131776 is an equidigital number, since it uses as much as digits as its factorization.

106131776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658321 (or 1658311 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 106131776 is about 10302.0277615623. The cubic root of 106131776 is about 473.4583830594.

The spelling of 106131776 in words is "one hundred six million, one hundred thirty-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 1658309 3316618 6633236 13266472 26532944 53065888 106131776