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106342668 = 22326744089
BaseRepresentation
bin1100101011010…
…10100100001100
321102002202201100
412111222210030
5204210431133
614315143100
72430616635
oct625524414
9242082640
10106342668
1155033903
122b744a90
1319054773
14101a288c
159508e13
hex656a90c

106342668 has 36 divisors (see below), whose sum is σ = 272828920. Its totient is φ = 34917696.

The previous prime is 106342637. The next prime is 106342693. The reversal of 106342668 is 866243601.

106342668 is a `hidden beast` number, since 10 + 634 + 2 + 6 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1063426682 = 22617526074716448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19633 + ... + 24456.

Almost surely, 2106342668 is an apocalyptic number.

106342668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106342668 is an abundant number, since it is smaller than the sum of its proper divisors (166486252).

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

106342668 is a wasteful number, since it uses less digits than its factorization.

106342668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44166 (or 44161 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 106342668 is about 10312.2581426184. The cubic root of 106342668 is about 473.7717749777.

The spelling of 106342668 in words is "one hundred six million, three hundred forty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 44089 88178 132267 176356 264534 396801 529068 793602 1587204 2953963 5907926 8861889 11815852 17723778 26585667 35447556 53171334 106342668